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Simplifying -1x2 + -18x = 72 Reorder the terms: -18x + -1x2 = 72 Solving -18x + -1x2 = 72 Solving for variable 'x'. Reorder the terms: -72 + -18x + -1x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(72 + 18x + x2) = 0 Factor a trinomial. -1((12 + x)(6 + x)) = 0 Ignore the factor -1.Subproblem 1
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 = -12Subproblem 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 = {-12, -6}
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