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Simplifying (x + -4)(x + 6) + 8 = x(x + 1) + -13 Reorder the terms: (-4 + x)(x + 6) + 8 = x(x + 1) + -13 Reorder the terms: (-4 + x)(6 + x) + 8 = x(x + 1) + -13 Multiply (-4 + x) * (6 + x) (-4(6 + x) + x(6 + x)) + 8 = x(x + 1) + -13 ((6 * -4 + x * -4) + x(6 + x)) + 8 = x(x + 1) + -13 ((-24 + -4x) + x(6 + x)) + 8 = x(x + 1) + -13 (-24 + -4x + (6 * x + x * x)) + 8 = x(x + 1) + -13 (-24 + -4x + (6x + x2)) + 8 = x(x + 1) + -13 Combine like terms: -4x + 6x = 2x (-24 + 2x + x2) + 8 = x(x + 1) + -13 Reorder the terms: -24 + 8 + 2x + x2 = x(x + 1) + -13 Combine like terms: -24 + 8 = -16 -16 + 2x + x2 = x(x + 1) + -13 Reorder the terms: -16 + 2x + x2 = x(1 + x) + -13 -16 + 2x + x2 = (1 * x + x * x) + -13 -16 + 2x + x2 = (1x + x2) + -13 Reorder the terms: -16 + 2x + x2 = -13 + 1x + x2 Add '-1x2' to each side of the equation. -16 + 2x + x2 + -1x2 = -13 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 2x + 0 = -13 + 1x + x2 + -1x2 -16 + 2x = -13 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 2x = -13 + 1x + 0 -16 + 2x = -13 + 1x Solving -16 + 2x = -13 + 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. -16 + 2x + -1x = -13 + 1x + -1x Combine like terms: 2x + -1x = 1x -16 + 1x = -13 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + 1x = -13 + 0 -16 + 1x = -13 Add '16' to each side of the equation. -16 + 16 + 1x = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -13 + 16 1x = -13 + 16 Combine like terms: -13 + 16 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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