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Simplifying (5x + 8)(6x + -7) = 0 Reorder the terms: (8 + 5x)(6x + -7) = 0 Reorder the terms: (8 + 5x)(-7 + 6x) = 0 Multiply (8 + 5x) * (-7 + 6x) (8(-7 + 6x) + 5x * (-7 + 6x)) = 0 ((-7 * 8 + 6x * 8) + 5x * (-7 + 6x)) = 0 ((-56 + 48x) + 5x * (-7 + 6x)) = 0 (-56 + 48x + (-7 * 5x + 6x * 5x)) = 0 (-56 + 48x + (-35x + 30x2)) = 0 Combine like terms: 48x + -35x = 13x (-56 + 13x + 30x2) = 0 Solving -56 + 13x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(7 + -6x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 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 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {-1.6, 1.166666667}
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