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