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Simplifying (3x + -9)(x + -5) = 0 Reorder the terms: (-9 + 3x)(x + -5) = 0 Reorder the terms: (-9 + 3x)(-5 + x) = 0 Multiply (-9 + 3x) * (-5 + x) (-9(-5 + x) + 3x * (-5 + x)) = 0 ((-5 * -9 + x * -9) + 3x * (-5 + x)) = 0 ((45 + -9x) + 3x * (-5 + x)) = 0 (45 + -9x + (-5 * 3x + x * 3x)) = 0 (45 + -9x + (-15x + 3x2)) = 0 Combine like terms: -9x + -15x = -24x (45 + -24x + 3x2) = 0 Solving 45 + -24x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -8x + x2) = 0 Factor a trinomial. 3((3 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {3, 5}
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