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Simplifying (5x + -4)(7x + -5) = 0 Reorder the terms: (-4 + 5x)(7x + -5) = 0 Reorder the terms: (-4 + 5x)(-5 + 7x) = 0 Multiply (-4 + 5x) * (-5 + 7x) (-4(-5 + 7x) + 5x * (-5 + 7x)) = 0 ((-5 * -4 + 7x * -4) + 5x * (-5 + 7x)) = 0 ((20 + -28x) + 5x * (-5 + 7x)) = 0 (20 + -28x + (-5 * 5x + 7x * 5x)) = 0 (20 + -28x + (-25x + 35x2)) = 0 Combine like terms: -28x + -25x = -53x (20 + -53x + 35x2) = 0 Solving 20 + -53x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x)(4 + -5x) = 0Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
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 = 0.8Solution
x = {0.7142857143, 0.8}
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