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Simplifying -1x2 + x + 2 = x2 + -3x + -4 Reorder the terms: 2 + x + -1x2 = x2 + -3x + -4 Reorder the terms: 2 + x + -1x2 = -4 + -3x + x2 Solving 2 + x + -1x2 = -4 + -3x + x2 Solving for variable 'x'. Reorder the terms: 2 + 4 + x + 3x + -1x2 + -1x2 = -4 + -3x + x2 + 4 + 3x + -1x2 Combine like terms: 2 + 4 = 6 6 + x + 3x + -1x2 + -1x2 = -4 + -3x + x2 + 4 + 3x + -1x2 Combine like terms: x + 3x = 4x 6 + 4x + -1x2 + -1x2 = -4 + -3x + x2 + 4 + 3x + -1x2 Combine like terms: -1x2 + -1x2 = -2x2 6 + 4x + -2x2 = -4 + -3x + x2 + 4 + 3x + -1x2 Reorder the terms: 6 + 4x + -2x2 = -4 + 4 + -3x + 3x + x2 + -1x2 Combine like terms: -4 + 4 = 0 6 + 4x + -2x2 = 0 + -3x + 3x + x2 + -1x2 6 + 4x + -2x2 = -3x + 3x + x2 + -1x2 Combine like terms: -3x + 3x = 0 6 + 4x + -2x2 = 0 + x2 + -1x2 6 + 4x + -2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 2x + -1x2) = 0 Factor a trinomial. 2((3 + -1x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 3Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {3, -1}
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