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Simplifying (6 + -2v)(2v + 6) = 0 Reorder the terms: (6 + -2v)(6 + 2v) = 0 Multiply (6 + -2v) * (6 + 2v) (6(6 + 2v) + -2v * (6 + 2v)) = 0 ((6 * 6 + 2v * 6) + -2v * (6 + 2v)) = 0 ((36 + 12v) + -2v * (6 + 2v)) = 0 (36 + 12v + (6 * -2v + 2v * -2v)) = 0 (36 + 12v + (-12v + -4v2)) = 0 Combine like terms: 12v + -12v = 0 (36 + 0 + -4v2) = 0 (36 + -4v2) = 0 Solving 36 + -4v2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -4v2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4v2 = 0 + -36 -4v2 = 0 + -36 Combine like terms: 0 + -36 = -36 -4v2 = -36 Divide each side by '-4'. v2 = 9 Simplifying v2 = 9 Take the square root of each side: v = {-3, 3}
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