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Simplifying 0 = 2x2 + -4x + -126 Reorder the terms: 0 = -126 + -4x + 2x2 Solving 0 = -126 + -4x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 126 = 126 126 + 4x + -2x2 = -126 + -4x + 2x2 + 126 + 4x + -2x2 Reorder the terms: 126 + 4x + -2x2 = -126 + 126 + -4x + 4x + 2x2 + -2x2 Combine like terms: -126 + 126 = 0 126 + 4x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 126 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 126 + 4x + -2x2 = 0 + 2x2 + -2x2 126 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 126 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + 2x + -1x2) = 0 Factor a trinomial. 2((9 + -1x)(7 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 9Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {9, -7}
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