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Simplifying (3x + -3)(x + -9) = 0 Reorder the terms: (-3 + 3x)(x + -9) = 0 Reorder the terms: (-3 + 3x)(-9 + x) = 0 Multiply (-3 + 3x) * (-9 + x) (-3(-9 + x) + 3x * (-9 + x)) = 0 ((-9 * -3 + x * -3) + 3x * (-9 + x)) = 0 ((27 + -3x) + 3x * (-9 + x)) = 0 (27 + -3x + (-9 * 3x + x * 3x)) = 0 (27 + -3x + (-27x + 3x2)) = 0 Combine like terms: -3x + -27x = -30x (27 + -30x + 3x2) = 0 Solving 27 + -30x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -10x + x2) = 0 Factor a trinomial. 3((1 + -1x)(9 + -1x)) = 0 Ignore the factor 3.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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {1, 9}
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