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Simplifying (9 + x)(13 + x) = 0 Multiply (9 + x) * (13 + x) (9(13 + x) + x(13 + x)) = 0 ((13 * 9 + x * 9) + x(13 + x)) = 0 ((117 + 9x) + x(13 + x)) = 0 (117 + 9x + (13 * x + x * x)) = 0 (117 + 9x + (13x + x2)) = 0 Combine like terms: 9x + 13x = 22x (117 + 22x + x2) = 0 Solving 117 + 22x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + x)(9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {-13, -9}
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