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Simplifying (2v + 5)(2v + -5) = 0 Reorder the terms: (5 + 2v)(2v + -5) = 0 Reorder the terms: (5 + 2v)(-5 + 2v) = 0 Multiply (5 + 2v) * (-5 + 2v) (5(-5 + 2v) + 2v * (-5 + 2v)) = 0 ((-5 * 5 + 2v * 5) + 2v * (-5 + 2v)) = 0 ((-25 + 10v) + 2v * (-5 + 2v)) = 0 (-25 + 10v + (-5 * 2v + 2v * 2v)) = 0 (-25 + 10v + (-10v + 4v2)) = 0 Combine like terms: 10v + -10v = 0 (-25 + 0 + 4v2) = 0 (-25 + 4v2) = 0 Solving -25 + 4v2 = 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 + 4v2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4v2 = 0 + 25 4v2 = 0 + 25 Combine like terms: 0 + 25 = 25 4v2 = 25 Divide each side by '4'. v2 = 6.25 Simplifying v2 = 6.25 Take the square root of each side: v = {-2.5, 2.5}
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