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Simplifying (3x + -18)(x + -3) = 0 Reorder the terms: (-18 + 3x)(x + -3) = 0 Reorder the terms: (-18 + 3x)(-3 + x) = 0 Multiply (-18 + 3x) * (-3 + x) (-18(-3 + x) + 3x * (-3 + x)) = 0 ((-3 * -18 + x * -18) + 3x * (-3 + x)) = 0 ((54 + -18x) + 3x * (-3 + x)) = 0 (54 + -18x + (-3 * 3x + x * 3x)) = 0 (54 + -18x + (-9x + 3x2)) = 0 Combine like terms: -18x + -9x = -27x (54 + -27x + 3x2) = 0 Solving 54 + -27x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(18 + -9x + x2) = 0 Factor a trinomial. 3((3 + -1x)(6 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 3Subproblem 2
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 = 6Solution
x = {3, 6}
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