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Simplifying (1 + -8r)(1 + 8r) = 0 Multiply (1 + -8r) * (1 + 8r) (1(1 + 8r) + -8r * (1 + 8r)) = 0 ((1 * 1 + 8r * 1) + -8r * (1 + 8r)) = 0 ((1 + 8r) + -8r * (1 + 8r)) = 0 (1 + 8r + (1 * -8r + 8r * -8r)) = 0 (1 + 8r + (-8r + -64r2)) = 0 Combine like terms: 8r + -8r = 0 (1 + 0 + -64r2) = 0 (1 + -64r2) = 0 Solving 1 + -64r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -64r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -64r2 = 0 + -1 -64r2 = 0 + -1 Combine like terms: 0 + -1 = -1 -64r2 = -1 Divide each side by '-64'. r2 = 0.015625 Simplifying r2 = 0.015625 Take the square root of each side: r = {-0.125, 0.125}
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