INPUT ARTICLE: Article: Before you start your etching, you'll want to make sure you have enough of a suitable acid to complete your project — having to run out to the hardware store in the middle of your etching project is a serious pain. Muriatic acid (also called hydrochloric acid) is the most common type of acid used for this project. It's difficult to say exactly how much acid any given project will need because the acid is usually sold in varying strengths. In very general terms, 1⁄4 gallon (0.9 L) of acid (when properly diluted) will cover about 50-70 square feet of concrete (about 4.5-6.5 square meters).  Other suitable acids for etching include phosphoric acid and sulfamic acid. The latter is an especially good choice for first-timers because it is much less caustic and dangerous than the other acids.  If you're unsure of whether you have the right type of acid, check the label on its packaging — most suitable products will mention that they can be used for concrete etching purposes. To begin, remove any any all furniture, vehicles, and other obstructions from the area you intend to treat. Etching acids can permanently damage common objects if allowed to remain in contact with them for even short periods of time, so have them well out of the way by the time you start your project. You'll also want to give the area a good sweeping to remove accumulated dust, dirt, or grime. The acid needs to be able to touch every part of the concrete's surface to react properly with it. Even small pieces of debris can interfere with the reaction, potentially causing an uneven etching. If you're etching concrete in your garage or on your driveway, there's a chance that there may be oil or grease stains on the driveway from your vehicle. Etching acids can't penetrate through oily substances, which means that any concrete under an oil stain will go un-etched. To remove oil and grease stains, try scrubbing with a commercial degreasing product — these are available from most home improvement stores for fairly cheap. Alternatively, try using ordinary laundry detergent. Most detergents are formulated to dissolve oil and grease, making them perfect for degreasing your concrete surface. When your concrete is perfectly clean and clear, use a hose with a sprayer attachment to wet the entire surface of the concrete. Spread the water evenly across the surface until all of the concrete is wet but no standing water remains. The concrete should stay at this level of wetness until the acid is applied. If you'll be etching up to any adjacent walls or other surfaces, be sure to also wet the bottom inch or so to minimize the possibility of direct contact with  the acid.

SUMMARY: Grab muriatic acid or another suitable etching acid. Clear the concrete of any obstructions. Use degreaser for oil or grease. Hose down the entire area.

In one sentence, describe what the following article is about: Once a flower on this plant loses its colorful lustre and the petals begin to dry and wilt, the flower will quickly shrivel up and die. At this point, you can use pruning shears to cut off the spent flower and its stem (called “deadheading”).  Trace down the spent flower’s stem until you reach the next lateral stem with a blooming flower or bud on it. Cut the dead flower’s stem just above this joint. The best time of year for deadheading will vary based on the coneflower blooming season where you live. That said, you should plan to start deadheading about 2 weeks after the first blooms appear, and continue throughout the blooming season. Once a flower fades, the coneflower plant expends energy producing seeds that will eventually fall from the spent flower and sprout new coneflowers in the same area. Deadheading reduces the energy spent on seed production, which may result in more blooms that are longer-lasting and more vibrant.  Deadheading also greatly reduces the number of seeds that fall to the ground, which can help you keep your coneflowers from claiming more garden territory. Many gardeners also believe that deadheading simply makes the plant look prettier as well. If you want the coneflower section of your garden to spread naturally, skip deadheading and let the seeds fall where they may. Each year, the area covered by coneflowers will grow a bit larger.  In fact, after 3-4 years, you may be ready to divide up your intertwined coneflower plants and replant some of them elsewhere. Finches and many other types of birds love coneflower seeds, so don’t deadhead if you want lots of feathered friends to visit your garden!
Summary: Cut fading flowers and their stems down to the next lateral flower or bud. Deadhead to encourage more blooms or to limit self-seeding. Don’t deadhead if you want to encourage more coneflowers or invite birds.

INPUT ARTICLE: Article: On a piece of paper, write the first double-digit number of the equation on top and the second number directly below it. Draw an equation line below the second number (you will write down the solution to the problem below this line later).  For example, if you’re using Vedic Math to multiply 20 x 21, write 20 on a piece of paper, then write 21 right below it. Draw the equation line just below the 21. If you’re particularly adept at solving math problems in your mind, you can visualize this layout rather than writing it down. It can be helpful, though, to write out the equations when you are first starting out with Vedic multiplication. First, multiply the top left digit of the first number by the bottom left digit of the second number. Write your answer below the equation line, in the left-most column. This number is the first part of the solution. For example, when multiplying 20 x 21, first multiply the 2 (the first, left-side digit in 20) by 2 (the first, left-side digit in 21), which equals 4. Write the 4 below the equation line in the left column. First, multiply the top left column digit with the bottom right column digit. Then, multiply the bottom left column digit with the top right column digit. Add the solutions together and write the answer below the equation line to the right of the solution in the previous step. For example, when multiplying 20 x 21, first multiply the 2 (the top left column digit in the 20) by 1 (the bottom right column digit in 21), which equals 2. Then, multiply 2 (the bottom left column digit in the 21) with 0 (the top right column digit in the 20), which equals 0. Add the solutions, which are 2 and 0, together, which equals 2. Write the 2 below the equation line to the right of the 4 that you’ve already written below the equation line. Multiply the top digit in the right column by the digit at the bottom of the right column. Write the solution below the equation line in the right-most column. Then, read the number below the equation line left to right to get your final answer to the original equation. For example, when multiplying 20 x 21, multiply 0 (the top digit in the right column) by 1 (the bottom digit in the right column), which equals 0. Write 0 below the equation line to the right of the 4 and the 2 that you already have written down. Then, you can see that the answer to your original equation, 20 x 21, is 420.

SUMMARY:
Write down your multiplication equation. Use traditional multiplication to multiply the numbers in the left column. Multiply the diagonal digits and add the solutions. Find the final answer by multiplying the digits in the right column.