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Simplifying (-9x + 5)(7x + -6) = 0 Reorder the terms: (5 + -9x)(7x + -6) = 0 Reorder the terms: (5 + -9x)(-6 + 7x) = 0 Multiply (5 + -9x) * (-6 + 7x) (5(-6 + 7x) + -9x * (-6 + 7x)) = 0 ((-6 * 5 + 7x * 5) + -9x * (-6 + 7x)) = 0 ((-30 + 35x) + -9x * (-6 + 7x)) = 0 (-30 + 35x + (-6 * -9x + 7x * -9x)) = 0 (-30 + 35x + (54x + -63x2)) = 0 Combine like terms: 35x + 54x = 89x (-30 + 89x + -63x2) = 0 Solving -30 + 89x + -63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + 7x)(5 + -9x) = 0Subproblem 1
Set the factor '(-6 + 7x)' equal to zero and attempt to solve: Simplifying -6 + 7x = 0 Solving -6 + 7x = 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 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.8571428571, 0.5555555556}
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