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Simplifying (7x + -6)(4x + -9) = 0 Reorder the terms: (-6 + 7x)(4x + -9) = 0 Reorder the terms: (-6 + 7x)(-9 + 4x) = 0 Multiply (-6 + 7x) * (-9 + 4x) (-6(-9 + 4x) + 7x * (-9 + 4x)) = 0 ((-9 * -6 + 4x * -6) + 7x * (-9 + 4x)) = 0 ((54 + -24x) + 7x * (-9 + 4x)) = 0 (54 + -24x + (-9 * 7x + 4x * 7x)) = 0 (54 + -24x + (-63x + 28x2)) = 0 Combine like terms: -24x + -63x = -87x (54 + -87x + 28x2) = 0 Solving 54 + -87x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -7x)(9 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {0.8571428571, 2.25}
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