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Simplifying (9x + 9)(3x + -6) = 0 Reorder the terms: (9 + 9x)(3x + -6) = 0 Reorder the terms: (9 + 9x)(-6 + 3x) = 0 Multiply (9 + 9x) * (-6 + 3x) (9(-6 + 3x) + 9x * (-6 + 3x)) = 0 ((-6 * 9 + 3x * 9) + 9x * (-6 + 3x)) = 0 ((-54 + 27x) + 9x * (-6 + 3x)) = 0 (-54 + 27x + (-6 * 9x + 3x * 9x)) = 0 (-54 + 27x + (-54x + 27x2)) = 0 Combine like terms: 27x + -54x = -27x (-54 + -27x + 27x2) = 0 Solving -54 + -27x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '27'. 27(-2 + -1x + x2) = 0 Factor a trinomial. 27((-1 + -1x)(2 + -1x)) = 0 Ignore the factor 27.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1, 2}
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