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Simplifying 3 + -2x = x2 + 12x + 36 Reorder the terms: 3 + -2x = 36 + 12x + x2 Solving 3 + -2x = 36 + 12x + x2 Solving for variable 'x'. Reorder the terms: 3 + -36 + -2x + -12x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2 Combine like terms: 3 + -36 = -33 -33 + -2x + -12x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2 Combine like terms: -2x + -12x = -14x -33 + -14x + -1x2 = 36 + 12x + x2 + -36 + -12x + -1x2 Reorder the terms: -33 + -14x + -1x2 = 36 + -36 + 12x + -12x + x2 + -1x2 Combine like terms: 36 + -36 = 0 -33 + -14x + -1x2 = 0 + 12x + -12x + x2 + -1x2 -33 + -14x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 -33 + -14x + -1x2 = 0 + x2 + -1x2 -33 + -14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -33 + -14x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(33 + 14x + x2) = 0 Factor a trinomial. -1((11 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-11, -3}
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