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Simplifying x(x + 8) + -13(x + 8) = 0 Reorder the terms: x(8 + x) + -13(x + 8) = 0 (8 * x + x * x) + -13(x + 8) = 0 (8x + x2) + -13(x + 8) = 0 Reorder the terms: 8x + x2 + -13(8 + x) = 0 8x + x2 + (8 * -13 + x * -13) = 0 8x + x2 + (-104 + -13x) = 0 Reorder the terms: -104 + 8x + -13x + x2 = 0 Combine like terms: 8x + -13x = -5x -104 + -5x + x2 = 0 Solving -104 + -5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-8, 13}
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