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Simplifying (x + -4)(x + -5) = x2 Reorder the terms: (-4 + x)(x + -5) = x2 Reorder the terms: (-4 + x)(-5 + x) = x2 Multiply (-4 + x) * (-5 + x) (-4(-5 + x) + x(-5 + x)) = x2 ((-5 * -4 + x * -4) + x(-5 + x)) = x2 ((20 + -4x) + x(-5 + x)) = x2 (20 + -4x + (-5 * x + x * x)) = x2 (20 + -4x + (-5x + x2)) = x2 Combine like terms: -4x + -5x = -9x (20 + -9x + x2) = x2 Add '-1x2' to each side of the equation. 20 + -9x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + -9x + 0 = x2 + -1x2 20 + -9x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + -9x = 0 Solving 20 + -9x = 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 + -9x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 0 + -20 -9x = 0 + -20 Combine like terms: 0 + -20 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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