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