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Simplifying (x + -1)(x + 3) = (x + 5)(x + -4) Reorder the terms: (-1 + x)(x + 3) = (x + 5)(x + -4) Reorder the terms: (-1 + x)(3 + x) = (x + 5)(x + -4) Multiply (-1 + x) * (3 + x) (-1(3 + x) + x(3 + x)) = (x + 5)(x + -4) ((3 * -1 + x * -1) + x(3 + x)) = (x + 5)(x + -4) ((-3 + -1x) + x(3 + x)) = (x + 5)(x + -4) (-3 + -1x + (3 * x + x * x)) = (x + 5)(x + -4) (-3 + -1x + (3x + x2)) = (x + 5)(x + -4) Combine like terms: -1x + 3x = 2x (-3 + 2x + x2) = (x + 5)(x + -4) Reorder the terms: -3 + 2x + x2 = (5 + x)(x + -4) Reorder the terms: -3 + 2x + x2 = (5 + x)(-4 + x) Multiply (5 + x) * (-4 + x) -3 + 2x + x2 = (5(-4 + x) + x(-4 + x)) -3 + 2x + x2 = ((-4 * 5 + x * 5) + x(-4 + x)) -3 + 2x + x2 = ((-20 + 5x) + x(-4 + x)) -3 + 2x + x2 = (-20 + 5x + (-4 * x + x * x)) -3 + 2x + x2 = (-20 + 5x + (-4x + x2)) Combine like terms: 5x + -4x = 1x -3 + 2x + x2 = (-20 + 1x + x2) Add '-1x2' to each side of the equation. -3 + 2x + x2 + -1x2 = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x + 0 = -20 + 1x + x2 + -1x2 -3 + 2x = -20 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x = -20 + 1x + 0 -3 + 2x = -20 + 1x Solving -3 + 2x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 2x + -1x = -20 + 1x + -1x Combine like terms: 2x + -1x = 1x -3 + 1x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 1x = -20 + 0 -3 + 1x = -20 Add '3' to each side of the equation. -3 + 3 + 1x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -20 + 3 1x = -20 + 3 Combine like terms: -20 + 3 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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