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Simplifying (x2 + -3x) + -1(x + 4)(x + -5) = 0 Reorder the terms: (-3x + x2) + -1(x + 4)(x + -5) = 0 Remove parenthesis around (-3x + x2) -3x + x2 + -1(x + 4)(x + -5) = 0 Reorder the terms: -3x + x2 + -1(4 + x)(x + -5) = 0 Reorder the terms: -3x + x2 + -1(4 + x)(-5 + x) = 0 Multiply (4 + x) * (-5 + x) -3x + x2 + -1(4(-5 + x) + x(-5 + x)) = 0 -3x + x2 + -1((-5 * 4 + x * 4) + x(-5 + x)) = 0 -3x + x2 + -1((-20 + 4x) + x(-5 + x)) = 0 -3x + x2 + -1(-20 + 4x + (-5 * x + x * x)) = 0 -3x + x2 + -1(-20 + 4x + (-5x + x2)) = 0 Combine like terms: 4x + -5x = -1x -3x + x2 + -1(-20 + -1x + x2) = 0 -3x + x2 + (-20 * -1 + -1x * -1 + x2 * -1) = 0 -3x + x2 + (20 + 1x + -1x2) = 0 Reorder the terms: 20 + -3x + 1x + x2 + -1x2 = 0 Combine like terms: -3x + 1x = -2x 20 + -2x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 20 + -2x + 0 = 0 20 + -2x = 0 Solving 20 + -2x = 0 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 + -2x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 0 + -20 -2x = 0 + -20 Combine like terms: 0 + -20 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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