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Simplifying (x + -1)(2x + 3) = (2x + 1)(x + -1) Reorder the terms: (-1 + x)(2x + 3) = (2x + 1)(x + -1) Reorder the terms: (-1 + x)(3 + 2x) = (2x + 1)(x + -1) Multiply (-1 + x) * (3 + 2x) (-1(3 + 2x) + x(3 + 2x)) = (2x + 1)(x + -1) ((3 * -1 + 2x * -1) + x(3 + 2x)) = (2x + 1)(x + -1) ((-3 + -2x) + x(3 + 2x)) = (2x + 1)(x + -1) (-3 + -2x + (3 * x + 2x * x)) = (2x + 1)(x + -1) (-3 + -2x + (3x + 2x2)) = (2x + 1)(x + -1) Combine like terms: -2x + 3x = 1x (-3 + 1x + 2x2) = (2x + 1)(x + -1) Reorder the terms: -3 + 1x + 2x2 = (1 + 2x)(x + -1) Reorder the terms: -3 + 1x + 2x2 = (1 + 2x)(-1 + x) Multiply (1 + 2x) * (-1 + x) -3 + 1x + 2x2 = (1(-1 + x) + 2x * (-1 + x)) -3 + 1x + 2x2 = ((-1 * 1 + x * 1) + 2x * (-1 + x)) -3 + 1x + 2x2 = ((-1 + 1x) + 2x * (-1 + x)) -3 + 1x + 2x2 = (-1 + 1x + (-1 * 2x + x * 2x)) -3 + 1x + 2x2 = (-1 + 1x + (-2x + 2x2)) Combine like terms: 1x + -2x = -1x -3 + 1x + 2x2 = (-1 + -1x + 2x2) Add '-2x2' to each side of the equation. -3 + 1x + 2x2 + -2x2 = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 1x + 0 = -1 + -1x + 2x2 + -2x2 -3 + 1x = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 1x = -1 + -1x + 0 -3 + 1x = -1 + -1x Solving -3 + 1x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 1x + x = -1 + -1x + x Combine like terms: 1x + x = 2x -3 + 2x = -1 + -1x + x Combine like terms: -1x + x = 0 -3 + 2x = -1 + 0 -3 + 2x = -1 Add '3' to each side of the equation. -3 + 3 + 2x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -1 + 3 2x = -1 + 3 Combine like terms: -1 + 3 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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