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Simplifying (8x + -7)(5x + 6) = 0 Reorder the terms: (-7 + 8x)(5x + 6) = 0 Reorder the terms: (-7 + 8x)(6 + 5x) = 0 Multiply (-7 + 8x) * (6 + 5x) (-7(6 + 5x) + 8x * (6 + 5x)) = 0 ((6 * -7 + 5x * -7) + 8x * (6 + 5x)) = 0 ((-42 + -35x) + 8x * (6 + 5x)) = 0 (-42 + -35x + (6 * 8x + 5x * 8x)) = 0 (-42 + -35x + (48x + 40x2)) = 0 Combine like terms: -35x + 48x = 13x (-42 + 13x + 40x2) = 0 Solving -42 + 13x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(7 + -8x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {-1.2, 0.875}
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