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Simplifying (5x + -4)(7x + -6) = 0 Reorder the terms: (-4 + 5x)(7x + -6) = 0 Reorder the terms: (-4 + 5x)(-6 + 7x) = 0 Multiply (-4 + 5x) * (-6 + 7x) (-4(-6 + 7x) + 5x * (-6 + 7x)) = 0 ((-6 * -4 + 7x * -4) + 5x * (-6 + 7x)) = 0 ((24 + -28x) + 5x * (-6 + 7x)) = 0 (24 + -28x + (-6 * 5x + 7x * 5x)) = 0 (24 + -28x + (-30x + 35x2)) = 0 Combine like terms: -28x + -30x = -58x (24 + -58x + 35x2) = 0 Solving 24 + -58x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(6 + -7x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
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 = 0.8571428571Solution
x = {0.8, 0.8571428571}
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