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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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