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