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Simplifying (8x + -9)(7x + -6) = 0 Reorder the terms: (-9 + 8x)(7x + -6) = 0 Reorder the terms: (-9 + 8x)(-6 + 7x) = 0 Multiply (-9 + 8x) * (-6 + 7x) (-9(-6 + 7x) + 8x * (-6 + 7x)) = 0 ((-6 * -9 + 7x * -9) + 8x * (-6 + 7x)) = 0 ((54 + -63x) + 8x * (-6 + 7x)) = 0 (54 + -63x + (-6 * 8x + 7x * 8x)) = 0 (54 + -63x + (-48x + 56x2)) = 0 Combine like terms: -63x + -48x = -111x (54 + -111x + 56x2) = 0 Solving 54 + -111x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -7x)(9 + -8x) = 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 '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {0.8571428571, 1.125}
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