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Simplifying (7x + -8)(7x + -8) = 0 Reorder the terms: (-8 + 7x)(7x + -8) = 0 Reorder the terms: (-8 + 7x)(-8 + 7x) = 0 Multiply (-8 + 7x) * (-8 + 7x) (-8(-8 + 7x) + 7x * (-8 + 7x)) = 0 ((-8 * -8 + 7x * -8) + 7x * (-8 + 7x)) = 0 ((64 + -56x) + 7x * (-8 + 7x)) = 0 (64 + -56x + (-8 * 7x + 7x * 7x)) = 0 (64 + -56x + (-56x + 49x2)) = 0 Combine like terms: -56x + -56x = -112x (64 + -112x + 49x2) = 0 Solving 64 + -112x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -7x)(8 + -7x) = 0Subproblem 1
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {1.142857143, 1.142857143}
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