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Simplifying (6 + -1r)(6 + r) = 0 Multiply (6 + -1r) * (6 + r) (6(6 + r) + -1r * (6 + r)) = 0 ((6 * 6 + r * 6) + -1r * (6 + r)) = 0 ((36 + 6r) + -1r * (6 + r)) = 0 (36 + 6r + (6 * -1r + r * -1r)) = 0 (36 + 6r + (-6r + -1r2)) = 0 Combine like terms: 6r + -6r = 0 (36 + 0 + -1r2) = 0 (36 + -1r2) = 0 Solving 36 + -1r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1r2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1r2 = 0 + -36 -1r2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1r2 = -36 Divide each side by '-1'. r2 = 36 Simplifying r2 = 36 Take the square root of each side: r = {-6, 6}
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