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Simplifying 20x = -1x2 + -96 Reorder the terms: 20x = -96 + -1x2 Solving 20x = -96 + -1x2 Solving for variable 'x'. Reorder the terms: 96 + 20x + x2 = -96 + -1x2 + 96 + x2 Reorder the terms: 96 + 20x + x2 = -96 + 96 + -1x2 + x2 Combine like terms: -96 + 96 = 0 96 + 20x + x2 = 0 + -1x2 + x2 96 + 20x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 96 + 20x + x2 = 0 Factor a trinomial. (12 + x)(8 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 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 = {-12, -8}
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