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Simplifying (-3x + -6)(x + -6) = 0 Reorder the terms: (-6 + -3x)(x + -6) = 0 Reorder the terms: (-6 + -3x)(-6 + x) = 0 Multiply (-6 + -3x) * (-6 + x) (-6(-6 + x) + -3x * (-6 + x)) = 0 ((-6 * -6 + x * -6) + -3x * (-6 + x)) = 0 ((36 + -6x) + -3x * (-6 + x)) = 0 (36 + -6x + (-6 * -3x + x * -3x)) = 0 (36 + -6x + (18x + -3x2)) = 0 Combine like terms: -6x + 18x = 12x (36 + 12x + -3x2) = 0 Solving 36 + 12x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(12 + 4x + -1x2) = 0 Factor a trinomial. 3((6 + -1x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {6, -2}
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