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Simplifying -14 = x2 + -11x + 10 Reorder the terms: -14 = 10 + -11x + x2 Solving -14 = 10 + -11x + x2 Solving for variable 'x'. Combine like terms: -14 + -10 = -24 -24 + 11x + -1x2 = 10 + -11x + x2 + -10 + 11x + -1x2 Reorder the terms: -24 + 11x + -1x2 = 10 + -10 + -11x + 11x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -24 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2 -24 + 11x + -1x2 = -11x + 11x + x2 + -1x2 Combine like terms: -11x + 11x = 0 -24 + 11x + -1x2 = 0 + x2 + -1x2 -24 + 11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -24 + 11x + -1x2 = 0 Factor a trinomial. (-8 + x)(3 + -1x) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {8, 3}
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