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Simplifying (x + -12)(x + 20) = x2 Reorder the terms: (-12 + x)(x + 20) = x2 Reorder the terms: (-12 + x)(20 + x) = x2 Multiply (-12 + x) * (20 + x) (-12(20 + x) + x(20 + x)) = x2 ((20 * -12 + x * -12) + x(20 + x)) = x2 ((-240 + -12x) + x(20 + x)) = x2 (-240 + -12x + (20 * x + x * x)) = x2 (-240 + -12x + (20x + x2)) = x2 Combine like terms: -12x + 20x = 8x (-240 + 8x + x2) = x2 Add '-1x2' to each side of the equation. -240 + 8x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -240 + 8x + 0 = x2 + -1x2 -240 + 8x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -240 + 8x = 0 Solving -240 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + 240 + 8x = 0 + 240 Combine like terms: -240 + 240 = 0 0 + 8x = 0 + 240 8x = 0 + 240 Combine like terms: 0 + 240 = 240 8x = 240 Divide each side by '8'. x = 30 Simplifying x = 30
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