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Simplifying (x + -13)(x + 2) = 0 Reorder the terms: (-13 + x)(x + 2) = 0 Reorder the terms: (-13 + x)(2 + x) = 0 Multiply (-13 + x) * (2 + x) (-13(2 + x) + x(2 + x)) = 0 ((2 * -13 + x * -13) + x(2 + x)) = 0 ((-26 + -13x) + x(2 + x)) = 0 (-26 + -13x + (2 * x + x * x)) = 0 (-26 + -13x + (2x + x2)) = 0 Combine like terms: -13x + 2x = -11x (-26 + -11x + x2) = 0 Solving -26 + -11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 13}
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