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Simplifying -2x2 + 34x + -72 = 48 Reorder the terms: -72 + 34x + -2x2 = 48 Solving -72 + 34x + -2x2 = 48 Solving for variable 'x'. Reorder the terms: -72 + -48 + 34x + -2x2 = 48 + -48 Combine like terms: -72 + -48 = -120 -120 + 34x + -2x2 = 48 + -48 Combine like terms: 48 + -48 = 0 -120 + 34x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + 17x + -1x2) = 0 Factor a trinomial. 2((-12 + x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 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 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Subproblem 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 = {12, 5}
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