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Simplifying (x + 23)(x + 13) = 0 Reorder the terms: (23 + x)(x + 13) = 0 Reorder the terms: (23 + x)(13 + x) = 0 Multiply (23 + x) * (13 + x) (23(13 + x) + x(13 + x)) = 0 ((13 * 23 + x * 23) + x(13 + x)) = 0 ((299 + 23x) + x(13 + x)) = 0 (299 + 23x + (13 * x + x * x)) = 0 (299 + 23x + (13x + x2)) = 0 Combine like terms: 23x + 13x = 36x (299 + 36x + x2) = 0 Solving 299 + 36x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (23 + x)(13 + x) = 0Subproblem 1
Set the factor '(23 + x)' equal to zero and attempt to solve: Simplifying 23 + x = 0 Solving 23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + x = 0 + -23 x = 0 + -23 Combine like terms: 0 + -23 = -23 x = -23 Simplifying x = -23Subproblem 2
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 = -13Solution
x = {-23, -13}
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