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Simplifying 2x2 + -32x + 140 = 14 Reorder the terms: 140 + -32x + 2x2 = 14 Solving 140 + -32x + 2x2 = 14 Solving for variable 'x'. Reorder the terms: 140 + -14 + -32x + 2x2 = 14 + -14 Combine like terms: 140 + -14 = 126 126 + -32x + 2x2 = 14 + -14 Combine like terms: 14 + -14 = 0 126 + -32x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + -16x + x2) = 0 Factor a trinomial. 2((7 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
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 = 9Solution
x = {7, 9}
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