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Simplifying x2 + -20x + 86 = -10 Reorder the terms: 86 + -20x + x2 = -10 Solving 86 + -20x + x2 = -10 Solving for variable 'x'. Reorder the terms: 86 + 10 + -20x + x2 = -10 + 10 Combine like terms: 86 + 10 = 96 96 + -20x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 96 + -20x + x2 = 0 Factor a trinomial. (8 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {8, 12}
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