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Simplifying x(x + 10) + -13(x + 10) = 0 Reorder the terms: x(10 + x) + -13(x + 10) = 0 (10 * x + x * x) + -13(x + 10) = 0 (10x + x2) + -13(x + 10) = 0 Reorder the terms: 10x + x2 + -13(10 + x) = 0 10x + x2 + (10 * -13 + x * -13) = 0 10x + x2 + (-130 + -13x) = 0 Reorder the terms: -130 + 10x + -13x + x2 = 0 Combine like terms: 10x + -13x = -3x -130 + -3x + x2 = 0 Solving -130 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 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 = {-10, 13}
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