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Simplifying (5 + -7r)(5 + 7r) = 0 Multiply (5 + -7r) * (5 + 7r) (5(5 + 7r) + -7r * (5 + 7r)) = 0 ((5 * 5 + 7r * 5) + -7r * (5 + 7r)) = 0 ((25 + 35r) + -7r * (5 + 7r)) = 0 (25 + 35r + (5 * -7r + 7r * -7r)) = 0 (25 + 35r + (-35r + -49r2)) = 0 Combine like terms: 35r + -35r = 0 (25 + 0 + -49r2) = 0 (25 + -49r2) = 0 Solving 25 + -49r2 = 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 + -49r2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -49r2 = 0 + -25 -49r2 = 0 + -25 Combine like terms: 0 + -25 = -25 -49r2 = -25 Divide each side by '-49'. r2 = 0.5102040816 Simplifying r2 = 0.5102040816 Take the square root of each side: r = {-0.714285714, 0.714285714}
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