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Simplifying (x + -1)(2x + 3) = -3(x + -1) Reorder the terms: (-1 + x)(2x + 3) = -3(x + -1) Reorder the terms: (-1 + x)(3 + 2x) = -3(x + -1) Multiply (-1 + x) * (3 + 2x) (-1(3 + 2x) + x(3 + 2x)) = -3(x + -1) ((3 * -1 + 2x * -1) + x(3 + 2x)) = -3(x + -1) ((-3 + -2x) + x(3 + 2x)) = -3(x + -1) (-3 + -2x + (3 * x + 2x * x)) = -3(x + -1) (-3 + -2x + (3x + 2x2)) = -3(x + -1) Combine like terms: -2x + 3x = 1x (-3 + 1x + 2x2) = -3(x + -1) Reorder the terms: -3 + 1x + 2x2 = -3(-1 + x) -3 + 1x + 2x2 = (-1 * -3 + x * -3) -3 + 1x + 2x2 = (3 + -3x) Solving -3 + 1x + 2x2 = 3 + -3x Solving for variable 'x'. Reorder the terms: -3 + -3 + 1x + 3x + 2x2 = 3 + -3x + -3 + 3x Combine like terms: -3 + -3 = -6 -6 + 1x + 3x + 2x2 = 3 + -3x + -3 + 3x Combine like terms: 1x + 3x = 4x -6 + 4x + 2x2 = 3 + -3x + -3 + 3x Reorder the terms: -6 + 4x + 2x2 = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -6 + 4x + 2x2 = 0 + -3x + 3x -6 + 4x + 2x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 2x + x2) = 0 Factor a trinomial. 2((-3 + -1x)(1 + -1x)) = 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 + -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 = 1Solution
x = {-3, 1}
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