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Simplifying (13x + 8)(5x + -15) = 0 Reorder the terms: (8 + 13x)(5x + -15) = 0 Reorder the terms: (8 + 13x)(-15 + 5x) = 0 Multiply (8 + 13x) * (-15 + 5x) (8(-15 + 5x) + 13x * (-15 + 5x)) = 0 ((-15 * 8 + 5x * 8) + 13x * (-15 + 5x)) = 0 ((-120 + 40x) + 13x * (-15 + 5x)) = 0 (-120 + 40x + (-15 * 13x + 5x * 13x)) = 0 (-120 + 40x + (-195x + 65x2)) = 0 Combine like terms: 40x + -195x = -155x (-120 + -155x + 65x2) = 0 Solving -120 + -155x + 65x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-24 + -31x + 13x2) = 0 Factor a trinomial. 5((-8 + -13x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -13x)' equal to zero and attempt to solve: Simplifying -8 + -13x = 0 Solving -8 + -13x = 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 + -13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = 0 + 8 -13x = 0 + 8 Combine like terms: 0 + 8 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.6153846154, 3}
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