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Simplifying (x + -1)(x + 2) = (x + 2)(x + -3) + 1 Reorder the terms: (-1 + x)(x + 2) = (x + 2)(x + -3) + 1 Reorder the terms: (-1 + x)(2 + x) = (x + 2)(x + -3) + 1 Multiply (-1 + x) * (2 + x) (-1(2 + x) + x(2 + x)) = (x + 2)(x + -3) + 1 ((2 * -1 + x * -1) + x(2 + x)) = (x + 2)(x + -3) + 1 ((-2 + -1x) + x(2 + x)) = (x + 2)(x + -3) + 1 (-2 + -1x + (2 * x + x * x)) = (x + 2)(x + -3) + 1 (-2 + -1x + (2x + x2)) = (x + 2)(x + -3) + 1 Combine like terms: -1x + 2x = 1x (-2 + 1x + x2) = (x + 2)(x + -3) + 1 Reorder the terms: -2 + 1x + x2 = (2 + x)(x + -3) + 1 Reorder the terms: -2 + 1x + x2 = (2 + x)(-3 + x) + 1 Multiply (2 + x) * (-3 + x) -2 + 1x + x2 = (2(-3 + x) + x(-3 + x)) + 1 -2 + 1x + x2 = ((-3 * 2 + x * 2) + x(-3 + x)) + 1 -2 + 1x + x2 = ((-6 + 2x) + x(-3 + x)) + 1 -2 + 1x + x2 = (-6 + 2x + (-3 * x + x * x)) + 1 -2 + 1x + x2 = (-6 + 2x + (-3x + x2)) + 1 Combine like terms: 2x + -3x = -1x -2 + 1x + x2 = (-6 + -1x + x2) + 1 Reorder the terms: -2 + 1x + x2 = -6 + 1 + -1x + x2 Combine like terms: -6 + 1 = -5 -2 + 1x + x2 = -5 + -1x + x2 Add '-1x2' to each side of the equation. -2 + 1x + x2 + -1x2 = -5 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x + 0 = -5 + -1x + x2 + -1x2 -2 + 1x = -5 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x = -5 + -1x + 0 -2 + 1x = -5 + -1x Solving -2 + 1x = -5 + -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. -2 + 1x + x = -5 + -1x + x Combine like terms: 1x + x = 2x -2 + 2x = -5 + -1x + x Combine like terms: -1x + x = 0 -2 + 2x = -5 + 0 -2 + 2x = -5 Add '2' to each side of the equation. -2 + 2 + 2x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -5 + 2 2x = -5 + 2 Combine like terms: -5 + 2 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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