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Simplifying (4r + 4)(4r + -4) = 0 Reorder the terms: (4 + 4r)(4r + -4) = 0 Reorder the terms: (4 + 4r)(-4 + 4r) = 0 Multiply (4 + 4r) * (-4 + 4r) (4(-4 + 4r) + 4r * (-4 + 4r)) = 0 ((-4 * 4 + 4r * 4) + 4r * (-4 + 4r)) = 0 ((-16 + 16r) + 4r * (-4 + 4r)) = 0 (-16 + 16r + (-4 * 4r + 4r * 4r)) = 0 (-16 + 16r + (-16r + 16r2)) = 0 Combine like terms: 16r + -16r = 0 (-16 + 0 + 16r2) = 0 (-16 + 16r2) = 0 Solving -16 + 16r2 = 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 + 16r2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16r2 = 0 + 16 16r2 = 0 + 16 Combine like terms: 0 + 16 = 16 16r2 = 16 Divide each side by '16'. r2 = 1 Simplifying r2 = 1 Take the square root of each side: r = {-1, 1}
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