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Simplifying (8r + -5)(8r + 5) = 0 Reorder the terms: (-5 + 8r)(8r + 5) = 0 Reorder the terms: (-5 + 8r)(5 + 8r) = 0 Multiply (-5 + 8r) * (5 + 8r) (-5(5 + 8r) + 8r * (5 + 8r)) = 0 ((5 * -5 + 8r * -5) + 8r * (5 + 8r)) = 0 ((-25 + -40r) + 8r * (5 + 8r)) = 0 (-25 + -40r + (5 * 8r + 8r * 8r)) = 0 (-25 + -40r + (40r + 64r2)) = 0 Combine like terms: -40r + 40r = 0 (-25 + 0 + 64r2) = 0 (-25 + 64r2) = 0 Solving -25 + 64r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 64r2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 64r2 = 0 + 25 64r2 = 0 + 25 Combine like terms: 0 + 25 = 25 64r2 = 25 Divide each side by '64'. r2 = 0.390625 Simplifying r2 = 0.390625 Take the square root of each side: r = {-0.625, 0.625}
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