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Simplifying (-7x + 5)(-7x + 5) = 0 Reorder the terms: (5 + -7x)(-7x + 5) = 0 Reorder the terms: (5 + -7x)(5 + -7x) = 0 Multiply (5 + -7x) * (5 + -7x) (5(5 + -7x) + -7x * (5 + -7x)) = 0 ((5 * 5 + -7x * 5) + -7x * (5 + -7x)) = 0 ((25 + -35x) + -7x * (5 + -7x)) = 0 (25 + -35x + (5 * -7x + -7x * -7x)) = 0 (25 + -35x + (-35x + 49x2)) = 0 Combine like terms: -35x + -35x = -70x (25 + -70x + 49x2) = 0 Solving 25 + -70x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x)(5 + -7x) = 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 '(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 = {0.7142857143, 0.7142857143}
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