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