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Simplifying 6x + -20 = x2 + -132 Reorder the terms: -20 + 6x = x2 + -132 Reorder the terms: -20 + 6x = -132 + x2 Solving -20 + 6x = -132 + x2 Solving for variable 'x'. Reorder the terms: -20 + 132 + 6x + -1x2 = -132 + x2 + 132 + -1x2 Combine like terms: -20 + 132 = 112 112 + 6x + -1x2 = -132 + x2 + 132 + -1x2 Reorder the terms: 112 + 6x + -1x2 = -132 + 132 + x2 + -1x2 Combine like terms: -132 + 132 = 0 112 + 6x + -1x2 = 0 + x2 + -1x2 112 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 112 + 6x + -1x2 = 0 Factor a trinomial. (14 + -1x)(8 + x) = 0Subproblem 1
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 = 14Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {14, -8}
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