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Simplifying (x + 13)(x + 13) = x + 13 Reorder the terms: (13 + x)(x + 13) = x + 13 Reorder the terms: (13 + x)(13 + x) = x + 13 Multiply (13 + x) * (13 + x) (13(13 + x) + x(13 + x)) = x + 13 ((13 * 13 + x * 13) + x(13 + x)) = x + 13 ((169 + 13x) + x(13 + x)) = x + 13 (169 + 13x + (13 * x + x * x)) = x + 13 (169 + 13x + (13x + x2)) = x + 13 Combine like terms: 13x + 13x = 26x (169 + 26x + x2) = x + 13 Reorder the terms: 169 + 26x + x2 = 13 + x Solving 169 + 26x + x2 = 13 + x Solving for variable 'x'. Reorder the terms: 169 + -13 + 26x + -1x + x2 = 13 + x + -13 + -1x Combine like terms: 169 + -13 = 156 156 + 26x + -1x + x2 = 13 + x + -13 + -1x Combine like terms: 26x + -1x = 25x 156 + 25x + x2 = 13 + x + -13 + -1x Reorder the terms: 156 + 25x + x2 = 13 + -13 + x + -1x Combine like terms: 13 + -13 = 0 156 + 25x + x2 = 0 + x + -1x 156 + 25x + x2 = x + -1x Combine like terms: x + -1x = 0 156 + 25x + x2 = 0 Factor a trinomial. (13 + x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {-13, -12}
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