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