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Simplifying 2(2r + -3)(2r + 3) = 0 Reorder the terms: 2(-3 + 2r)(2r + 3) = 0 Reorder the terms: 2(-3 + 2r)(3 + 2r) = 0 Multiply (-3 + 2r) * (3 + 2r) 2(-3(3 + 2r) + 2r * (3 + 2r)) = 0 2((3 * -3 + 2r * -3) + 2r * (3 + 2r)) = 0 2((-9 + -6r) + 2r * (3 + 2r)) = 0 2(-9 + -6r + (3 * 2r + 2r * 2r)) = 0 2(-9 + -6r + (6r + 4r2)) = 0 Combine like terms: -6r + 6r = 0 2(-9 + 0 + 4r2) = 0 2(-9 + 4r2) = 0 (-9 * 2 + 4r2 * 2) = 0 (-18 + 8r2) = 0 Solving -18 + 8r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8r2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8r2 = 0 + 18 8r2 = 0 + 18 Combine like terms: 0 + 18 = 18 8r2 = 18 Divide each side by '8'. r2 = 2.25 Simplifying r2 = 2.25 Take the square root of each side: r = {-1.5, 1.5}
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