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Simplifying (x + -2)(3x + -9) = 0 Reorder the terms: (-2 + x)(3x + -9) = 0 Reorder the terms: (-2 + x)(-9 + 3x) = 0 Multiply (-2 + x) * (-9 + 3x) (-2(-9 + 3x) + x(-9 + 3x)) = 0 ((-9 * -2 + 3x * -2) + x(-9 + 3x)) = 0 ((18 + -6x) + x(-9 + 3x)) = 0 (18 + -6x + (-9 * x + 3x * x)) = 0 (18 + -6x + (-9x + 3x2)) = 0 Combine like terms: -6x + -9x = -15x (18 + -15x + 3x2) = 0 Solving 18 + -15x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -5x + x2) = 0 Factor a trinomial. 3((2 + -1x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 2Subproblem 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 = {2, 3}
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