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Simplifying (8x + -7)(8x + -7) = 0 Reorder the terms: (-7 + 8x)(8x + -7) = 0 Reorder the terms: (-7 + 8x)(-7 + 8x) = 0 Multiply (-7 + 8x) * (-7 + 8x) (-7(-7 + 8x) + 8x * (-7 + 8x)) = 0 ((-7 * -7 + 8x * -7) + 8x * (-7 + 8x)) = 0 ((49 + -56x) + 8x * (-7 + 8x)) = 0 (49 + -56x + (-7 * 8x + 8x * 8x)) = 0 (49 + -56x + (-56x + 64x2)) = 0 Combine like terms: -56x + -56x = -112x (49 + -112x + 64x2) = 0 Solving 49 + -112x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -8x)(7 + -8x) = 0Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {0.875, 0.875}
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