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Simplifying 0 = x2 + 9x + -36 Reorder the terms: 0 = -36 + 9x + x2 Solving 0 = -36 + 9x + x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -9x + -1x2 = -36 + 9x + x2 + 36 + -9x + -1x2 Reorder the terms: 36 + -9x + -1x2 = -36 + 36 + 9x + -9x + x2 + -1x2 Combine like terms: -36 + 36 = 0 36 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2 36 + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 36 + -9x + -1x2 = 0 + x2 + -1x2 36 + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + -9x + -1x2 = 0 Factor a trinomial. (3 + -1x)(12 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {3, -12}
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