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Simplifying -1x2 + -18 = x2 + 12x Reorder the terms: -18 + -1x2 = x2 + 12x Reorder the terms: -18 + -1x2 = 12x + x2 Solving -18 + -1x2 = 12x + x2 Solving for variable 'x'. Reorder the terms: -18 + -12x + -1x2 + -1x2 = 12x + x2 + -12x + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 -18 + -12x + -2x2 = 12x + x2 + -12x + -1x2 Reorder the terms: -18 + -12x + -2x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 -18 + -12x + -2x2 = 0 + x2 + -1x2 -18 + -12x + -2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 6x + x2) = 0 Factor a trinomial. -2((3 + x)(3 + x)) = 0 Ignore the factor -2.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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