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Simplifying (4v + 4)(4v + -4) = 0 Reorder the terms: (4 + 4v)(4v + -4) = 0 Reorder the terms: (4 + 4v)(-4 + 4v) = 0 Multiply (4 + 4v) * (-4 + 4v) (4(-4 + 4v) + 4v * (-4 + 4v)) = 0 ((-4 * 4 + 4v * 4) + 4v * (-4 + 4v)) = 0 ((-16 + 16v) + 4v * (-4 + 4v)) = 0 (-16 + 16v + (-4 * 4v + 4v * 4v)) = 0 (-16 + 16v + (-16v + 16v2)) = 0 Combine like terms: 16v + -16v = 0 (-16 + 0 + 16v2) = 0 (-16 + 16v2) = 0 Solving -16 + 16v2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16v2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16v2 = 0 + 16 16v2 = 0 + 16 Combine like terms: 0 + 16 = 16 16v2 = 16 Divide each side by '16'. v2 = 1 Simplifying v2 = 1 Take the square root of each side: v = {-1, 1}
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