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Simplifying (4x + -5)(7x + -1) = 0 Reorder the terms: (-5 + 4x)(7x + -1) = 0 Reorder the terms: (-5 + 4x)(-1 + 7x) = 0 Multiply (-5 + 4x) * (-1 + 7x) (-5(-1 + 7x) + 4x * (-1 + 7x)) = 0 ((-1 * -5 + 7x * -5) + 4x * (-1 + 7x)) = 0 ((5 + -35x) + 4x * (-1 + 7x)) = 0 (5 + -35x + (-1 * 4x + 7x * 4x)) = 0 (5 + -35x + (-4x + 28x2)) = 0 Combine like terms: -35x + -4x = -39x (5 + -39x + 28x2) = 0 Solving 5 + -39x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(5 + -4x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {0.1428571429, 1.25}
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