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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 = 0 (-49 + 0 + 64x2) = 0 (-49 + 64x2) = 0 Solving -49 + 64x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 64x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 64x2 = 0 + 49 64x2 = 0 + 49 Combine like terms: 0 + 49 = 49 64x2 = 49 Divide each side by '64'. x2 = 0.765625 Simplifying x2 = 0.765625 Take the square root of each side: x = {-0.875, 0.875}
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