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Simplifying x2 + -1(24 + x)(20 + x) = 0 Multiply (24 + x) * (20 + x) x2 + -1(24(20 + x) + x(20 + x)) = 0 x2 + -1((20 * 24 + x * 24) + x(20 + x)) = 0 x2 + -1((480 + 24x) + x(20 + x)) = 0 x2 + -1(480 + 24x + (20 * x + x * x)) = 0 x2 + -1(480 + 24x + (20x + x2)) = 0 Combine like terms: 24x + 20x = 44x x2 + -1(480 + 44x + x2) = 0 x2 + (480 * -1 + 44x * -1 + x2 * -1) = 0 x2 + (-480 + -44x + -1x2) = 0 Reorder the terms: -480 + -44x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -480 + -44x + 0 = 0 -480 + -44x = 0 Solving -480 + -44x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '480' to each side of the equation. -480 + 480 + -44x = 0 + 480 Combine like terms: -480 + 480 = 0 0 + -44x = 0 + 480 -44x = 0 + 480 Combine like terms: 0 + 480 = 480 -44x = 480 Divide each side by '-44'. x = -10.90909091 Simplifying x = -10.90909091
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