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Simplifying (x + 4)(x + 5) = 20 Reorder the terms: (4 + x)(x + 5) = 20 Reorder the terms: (4 + x)(5 + x) = 20 Multiply (4 + x) * (5 + x) (4(5 + x) + x(5 + x)) = 20 ((5 * 4 + x * 4) + x(5 + x)) = 20 ((20 + 4x) + x(5 + x)) = 20 (20 + 4x + (5 * x + x * x)) = 20 (20 + 4x + (5x + x2)) = 20 Combine like terms: 4x + 5x = 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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