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Simplifying (x + 5)(x + 13) = 0 Reorder the terms: (5 + x)(x + 13) = 0 Reorder the terms: (5 + x)(13 + x) = 0 Multiply (5 + x) * (13 + x) (5(13 + x) + x(13 + x)) = 0 ((13 * 5 + x * 5) + x(13 + x)) = 0 ((65 + 5x) + x(13 + x)) = 0 (65 + 5x + (13 * x + x * x)) = 0 (65 + 5x + (13x + x2)) = 0 Combine like terms: 5x + 13x = 18x (65 + 18x + x2) = 0 Solving 65 + 18x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x)(5 + x) = 0Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 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 = {-13, -5}
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