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Simplifying 10 = x2 + -5x + -14 Reorder the terms: 10 = -14 + -5x + x2 Solving 10 = -14 + -5x + x2 Solving for variable 'x'. Combine like terms: 10 + 14 = 24 24 + 5x + -1x2 = -14 + -5x + x2 + 14 + 5x + -1x2 Reorder the terms: 24 + 5x + -1x2 = -14 + 14 + -5x + 5x + x2 + -1x2 Combine like terms: -14 + 14 = 0 24 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2 24 + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 24 + 5x + -1x2 = 0 + x2 + -1x2 24 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 5x + -1x2 = 0 Factor a trinomial. (8 + -1x)(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {8, -3}
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