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Simplifying -36x = 3x2 + 108 Reorder the terms: -36x = 108 + 3x2 Solving -36x = 108 + 3x2 Solving for variable 'x'. Reorder the terms: -108 + -36x + -3x2 = 108 + 3x2 + -108 + -3x2 Reorder the terms: -108 + -36x + -3x2 = 108 + -108 + 3x2 + -3x2 Combine like terms: 108 + -108 = 0 -108 + -36x + -3x2 = 0 + 3x2 + -3x2 -108 + -36x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -108 + -36x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(36 + 12x + x2) = 0 Factor a trinomial. -3((6 + x)(6 + x)) = 0 Ignore the factor -3.Subproblem 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 + 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 = -6Solution
x = {-6, -6}
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