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Simplifying (4v + 5)(4v + -5) = 0 Reorder the terms: (5 + 4v)(4v + -5) = 0 Reorder the terms: (5 + 4v)(-5 + 4v) = 0 Multiply (5 + 4v) * (-5 + 4v) (5(-5 + 4v) + 4v * (-5 + 4v)) = 0 ((-5 * 5 + 4v * 5) + 4v * (-5 + 4v)) = 0 ((-25 + 20v) + 4v * (-5 + 4v)) = 0 (-25 + 20v + (-5 * 4v + 4v * 4v)) = 0 (-25 + 20v + (-20v + 16v2)) = 0 Combine like terms: 20v + -20v = 0 (-25 + 0 + 16v2) = 0 (-25 + 16v2) = 0 Solving -25 + 16v2 = 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 + 16v2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 16v2 = 0 + 25 16v2 = 0 + 25 Combine like terms: 0 + 25 = 25 16v2 = 25 Divide each side by '16'. v2 = 1.5625 Simplifying v2 = 1.5625 Take the square root of each side: v = {-1.25, 1.25}
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