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Simplifying 2x2 + -32x + -4 = -60 Reorder the terms: -4 + -32x + 2x2 = -60 Solving -4 + -32x + 2x2 = -60 Solving for variable 'x'. Reorder the terms: -4 + 60 + -32x + 2x2 = -60 + 60 Combine like terms: -4 + 60 = 56 56 + -32x + 2x2 = -60 + 60 Combine like terms: -60 + 60 = 0 56 + -32x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + -16x + x2) = 0 Factor a trinomial. 2((2 + -1x)(14 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {2, 14}
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