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Simplifying x(x + 13) + 15(x + 13) = 0 Reorder the terms: x(13 + x) + 15(x + 13) = 0 (13 * x + x * x) + 15(x + 13) = 0 (13x + x2) + 15(x + 13) = 0 Reorder the terms: 13x + x2 + 15(13 + x) = 0 13x + x2 + (13 * 15 + x * 15) = 0 13x + x2 + (195 + 15x) = 0 Reorder the terms: 195 + 13x + 15x + x2 = 0 Combine like terms: 13x + 15x = 28x 195 + 28x + x2 = 0 Solving 195 + 28x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(13 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 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 = {-15, -13}
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