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Simplifying (v + 9)(v + -9) = 0 Reorder the terms: (9 + v)(v + -9) = 0 Reorder the terms: (9 + v)(-9 + v) = 0 Multiply (9 + v) * (-9 + v) (9(-9 + v) + v(-9 + v)) = 0 ((-9 * 9 + v * 9) + v(-9 + v)) = 0 ((-81 + 9v) + v(-9 + v)) = 0 (-81 + 9v + (-9 * v + v * v)) = 0 (-81 + 9v + (-9v + v2)) = 0 Combine like terms: 9v + -9v = 0 (-81 + 0 + v2) = 0 (-81 + v2) = 0 Solving -81 + v2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + v2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + v2 = 0 + 81 v2 = 0 + 81 Combine like terms: 0 + 81 = 81 v2 = 81 Simplifying v2 = 81 Take the square root of each side: v = {-9, 9}
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