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Simplifying (x + -9)(6 + -2x) = 0 Reorder the terms: (-9 + x)(6 + -2x) = 0 Multiply (-9 + x) * (6 + -2x) (-9(6 + -2x) + x(6 + -2x)) = 0 ((6 * -9 + -2x * -9) + x(6 + -2x)) = 0 ((-54 + 18x) + x(6 + -2x)) = 0 (-54 + 18x + (6 * x + -2x * x)) = 0 (-54 + 18x + (6x + -2x2)) = 0 Combine like terms: 18x + 6x = 24x (-54 + 24x + -2x2) = 0 Solving -54 + 24x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 12x + -1x2) = 0 Factor a trinomial. 2((-9 + x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 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 = {9, 3}
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