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Simplifying (13x + 8)(5x + -7) = 0 Reorder the terms: (8 + 13x)(5x + -7) = 0 Reorder the terms: (8 + 13x)(-7 + 5x) = 0 Multiply (8 + 13x) * (-7 + 5x) (8(-7 + 5x) + 13x * (-7 + 5x)) = 0 ((-7 * 8 + 5x * 8) + 13x * (-7 + 5x)) = 0 ((-56 + 40x) + 13x * (-7 + 5x)) = 0 (-56 + 40x + (-7 * 13x + 5x * 13x)) = 0 (-56 + 40x + (-91x + 65x2)) = 0 Combine like terms: 40x + -91x = -51x (-56 + -51x + 65x2) = 0 Solving -56 + -51x + 65x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -13x)(7 + -5x) = 0Subproblem 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 '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.6153846154, 1.4}
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