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Simplifying x2 + -2x + -24 = 96 Reorder the terms: -24 + -2x + x2 = 96 Solving -24 + -2x + x2 = 96 Solving for variable 'x'. Reorder the terms: -24 + -96 + -2x + x2 = 96 + -96 Combine like terms: -24 + -96 = -120 -120 + -2x + x2 = 96 + -96 Combine like terms: 96 + -96 = 0 -120 + -2x + x2 = 0 Factor a trinomial. (-10 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 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 = {-10, 12}
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