With the top part of the equation. Pull out the problem underneath the square root. Try to find a common factor. I factored out a "2". I set it greater than or equal to zero because there can not be a negative number underneath the square root. To Factor it, I used the, Complete The Square, Strategy. In the left square: "6x^2" came from the "a" value. The 6 came from the C value. Multiply the A value to the C value to get 30x^2 and insert that into the top Square of the diamond shaped Square. In the right square: with the 30x^2 at the top, put the B value at the bottom of the right square. For the two open spaces in the square, find two numbers that multiply to get the top number and add to get the bottom number. I got 10x and 3x. Add them to the Left square. To get the numbers on the outside try to figure out what factors go into both numbers in the row and column. The two came fom what you factored out at the beginning. make sure you have it. Set the quantities equal to zero. Repeat the same process for the bottom equation to greater than or equal to zero.
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