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Simplifying 12x = (x2) + (36) 12x = x2 + (36) 12x = x2 + 36 Reorder the terms: 12x = 36 + x2 Solving 12x = 36 + x2 Solving for variable 'x'. Reorder the terms: -36 + 12x + -1x2 = 36 + x2 + -36 + -1x2 Reorder the terms: -36 + 12x + -1x2 = 36 + -36 + x2 + -1x2 Combine like terms: 36 + -36 = 0 -36 + 12x + -1x2 = 0 + x2 + -1x2 -36 + 12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -36 + 12x + -1x2 = 0 Factor a trinomial. (-6 + x)(6 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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