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