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Simplifying (2r + -4)(2r + 4) = 0 Reorder the terms: (-4 + 2r)(2r + 4) = 0 Reorder the terms: (-4 + 2r)(4 + 2r) = 0 Multiply (-4 + 2r) * (4 + 2r) (-4(4 + 2r) + 2r * (4 + 2r)) = 0 ((4 * -4 + 2r * -4) + 2r * (4 + 2r)) = 0 ((-16 + -8r) + 2r * (4 + 2r)) = 0 (-16 + -8r + (4 * 2r + 2r * 2r)) = 0 (-16 + -8r + (8r + 4r2)) = 0 Combine like terms: -8r + 8r = 0 (-16 + 0 + 4r2) = 0 (-16 + 4r2) = 0 Solving -16 + 4r2 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4r2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4r2 = 0 + 16 4r2 = 0 + 16 Combine like terms: 0 + 16 = 16 4r2 = 16 Divide each side by '4'. r2 = 4 Simplifying r2 = 4 Take the square root of each side: r = {-2, 2}
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