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Simplifying 3x2 = 135 + -12x Solving 3x2 = 135 + -12x Solving for variable 'x'. Reorder the terms: -135 + 12x + 3x2 = 135 + -12x + -135 + 12x Reorder the terms: -135 + 12x + 3x2 = 135 + -135 + -12x + 12x Combine like terms: 135 + -135 = 0 -135 + 12x + 3x2 = 0 + -12x + 12x -135 + 12x + 3x2 = -12x + 12x Combine like terms: -12x + 12x = 0 -135 + 12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-45 + 4x + x2) = 0 Factor a trinomial. 3((-9 + -1x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -9Subproblem 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 = {-9, 5}
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