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Simplifying (x + 5)(x + 8) = 0 Reorder the terms: (5 + x)(x + 8) = 0 Reorder the terms: (5 + x)(8 + x) = 0 Multiply (5 + x) * (8 + x) (5(8 + x) + x(8 + x)) = 0 ((8 * 5 + x * 5) + x(8 + x)) = 0 ((40 + 5x) + x(8 + x)) = 0 (40 + 5x + (8 * x + x * x)) = 0 (40 + 5x + (8x + x2)) = 0 Combine like terms: 5x + 8x = 13x (40 + 13x + x2) = 0 Solving 40 + 13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(5 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
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 = -5Solution
x = {-8, -5}
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