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Simplifying (5 + -3v)(3v + 5) = 0 Reorder the terms: (5 + -3v)(5 + 3v) = 0 Multiply (5 + -3v) * (5 + 3v) (5(5 + 3v) + -3v * (5 + 3v)) = 0 ((5 * 5 + 3v * 5) + -3v * (5 + 3v)) = 0 ((25 + 15v) + -3v * (5 + 3v)) = 0 (25 + 15v + (5 * -3v + 3v * -3v)) = 0 (25 + 15v + (-15v + -9v2)) = 0 Combine like terms: 15v + -15v = 0 (25 + 0 + -9v2) = 0 (25 + -9v2) = 0 Solving 25 + -9v2 = 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 + -9v2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9v2 = 0 + -25 -9v2 = 0 + -25 Combine like terms: 0 + -25 = -25 -9v2 = -25 Divide each side by '-9'. v2 = 2.777777778 Simplifying v2 = 2.777777778 Take the square root of each side: v = {-1.666666667, 1.666666667}
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