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Simplifying (7x + -5)(7x + -1) = 0 Reorder the terms: (-5 + 7x)(7x + -1) = 0 Reorder the terms: (-5 + 7x)(-1 + 7x) = 0 Multiply (-5 + 7x) * (-1 + 7x) (-5(-1 + 7x) + 7x * (-1 + 7x)) = 0 ((-1 * -5 + 7x * -5) + 7x * (-1 + 7x)) = 0 ((5 + -35x) + 7x * (-1 + 7x)) = 0 (5 + -35x + (-1 * 7x + 7x * 7x)) = 0 (5 + -35x + (-7x + 49x2)) = 0 Combine like terms: -35x + -7x = -42x (5 + -42x + 49x2) = 0 Solving 5 + -42x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(5 + -7x) = 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 + -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 = 0.7142857143Solution
x = {0.1428571429, 0.7142857143}
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