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Simplifying 2x2 = 34x + -120 Reorder the terms: 2x2 = -120 + 34x Solving 2x2 = -120 + 34x Solving for variable 'x'. Reorder the terms: 120 + -34x + 2x2 = -120 + 34x + 120 + -34x Reorder the terms: 120 + -34x + 2x2 = -120 + 120 + 34x + -34x Combine like terms: -120 + 120 = 0 120 + -34x + 2x2 = 0 + 34x + -34x 120 + -34x + 2x2 = 34x + -34x Combine like terms: 34x + -34x = 0 120 + -34x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -17x + x2) = 0 Factor a trinomial. 2((5 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 5Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {5, 12}
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