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Simplifying (x + -5)(x + -4) = 20 Reorder the terms: (-5 + x)(x + -4) = 20 Reorder the terms: (-5 + x)(-4 + x) = 20 Multiply (-5 + x) * (-4 + x) (-5(-4 + x) + x(-4 + x)) = 20 ((-4 * -5 + x * -5) + x(-4 + x)) = 20 ((20 + -5x) + x(-4 + x)) = 20 (20 + -5x + (-4 * x + x * x)) = 20 (20 + -5x + (-4x + x2)) = 20 Combine like terms: -5x + -4x = -9x (20 + -9x + x2) = 20 Add '-20' to each side of the equation. 20 + -9x + -20 + x2 = 20 + -20 Reorder the terms: 20 + -20 + -9x + x2 = 20 + -20 Combine like terms: 20 + -20 = 0 0 + -9x + x2 = 20 + -20 -9x + x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -9x + x2 = 0 Solving -9x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, 9}
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