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Simplifying (v + 5)(v + -5) = 0 Reorder the terms: (5 + v)(v + -5) = 0 Reorder the terms: (5 + v)(-5 + v) = 0 Multiply (5 + v) * (-5 + v) (5(-5 + v) + v(-5 + v)) = 0 ((-5 * 5 + v * 5) + v(-5 + v)) = 0 ((-25 + 5v) + v(-5 + v)) = 0 (-25 + 5v + (-5 * v + v * v)) = 0 (-25 + 5v + (-5v + v2)) = 0 Combine like terms: 5v + -5v = 0 (-25 + 0 + v2) = 0 (-25 + v2) = 0 Solving -25 + v2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + v2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + v2 = 0 + 25 v2 = 0 + 25 Combine like terms: 0 + 25 = 25 v2 = 25 Simplifying v2 = 25 Take the square root of each side: v = {-5, 5}
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