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Simplifying 60x + 2x2 = 272 Solving 60x + 2x2 = 272 Solving for variable 'x'. Reorder the terms: -272 + 60x + 2x2 = 272 + -272 Combine like terms: 272 + -272 = 0 -272 + 60x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-136 + 30x + x2) = 0 Factor a trinomial. 2((-34 + -1x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-34 + -1x)' equal to zero and attempt to solve: Simplifying -34 + -1x = 0 Solving -34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -1x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = 0 + 34 -1x = 0 + 34 Combine like terms: 0 + 34 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-34, 4}
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