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Simplifying (x + 5)(x + -4) = x * x + -15 Reorder the terms: (5 + x)(x + -4) = x * x + -15 Reorder the terms: (5 + x)(-4 + x) = x * x + -15 Multiply (5 + x) * (-4 + x) (5(-4 + x) + x(-4 + x)) = x * x + -15 ((-4 * 5 + x * 5) + x(-4 + x)) = x * x + -15 ((-20 + 5x) + x(-4 + x)) = x * x + -15 (-20 + 5x + (-4 * x + x * x)) = x * x + -15 (-20 + 5x + (-4x + x2)) = x * x + -15 Combine like terms: 5x + -4x = 1x (-20 + 1x + x2) = x * x + -15 Multiply x * x -20 + 1x + x2 = x2 + -15 Reorder the terms: -20 + 1x + x2 = -15 + x2 Add '-1x2' to each side of the equation. -20 + 1x + x2 + -1x2 = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 1x + 0 = -15 + x2 + -1x2 -20 + 1x = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 1x = -15 + 0 -20 + 1x = -15 Solving -20 + 1x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1x = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -15 + 20 1x = -15 + 20 Combine like terms: -15 + 20 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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