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Simplifying x2 + -1x + 1 = 2x2 + -3x + -14 Reorder the terms: 1 + -1x + x2 = 2x2 + -3x + -14 Reorder the terms: 1 + -1x + x2 = -14 + -3x + 2x2 Solving 1 + -1x + x2 = -14 + -3x + 2x2 Solving for variable 'x'. Reorder the terms: 1 + 14 + -1x + 3x + x2 + -2x2 = -14 + -3x + 2x2 + 14 + 3x + -2x2 Combine like terms: 1 + 14 = 15 15 + -1x + 3x + x2 + -2x2 = -14 + -3x + 2x2 + 14 + 3x + -2x2 Combine like terms: -1x + 3x = 2x 15 + 2x + x2 + -2x2 = -14 + -3x + 2x2 + 14 + 3x + -2x2 Combine like terms: x2 + -2x2 = -1x2 15 + 2x + -1x2 = -14 + -3x + 2x2 + 14 + 3x + -2x2 Reorder the terms: 15 + 2x + -1x2 = -14 + 14 + -3x + 3x + 2x2 + -2x2 Combine like terms: -14 + 14 = 0 15 + 2x + -1x2 = 0 + -3x + 3x + 2x2 + -2x2 15 + 2x + -1x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 15 + 2x + -1x2 = 0 + 2x2 + -2x2 15 + 2x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 15 + 2x + -1x2 = 0 Factor a trinomial. (5 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, -3}
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