How do you solve for x in this: 12x=32+x^2?

Ceiling Cat2013-02-18T15:56:30Z

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Make your equation equal to zero by subtracting 12x from both sides.

0 = x^2 - 12x + 32

Then factorize. You need two numbers that multiply to give 32 and add to give -12. Eight and four will work.

0 = (x - 4)(x - 8)

x has two solutions, x = 4 and x = 8