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Simplifying (7v + -6)(7v + 6) = 0 Reorder the terms: (-6 + 7v)(7v + 6) = 0 Reorder the terms: (-6 + 7v)(6 + 7v) = 0 Multiply (-6 + 7v) * (6 + 7v) (-6(6 + 7v) + 7v * (6 + 7v)) = 0 ((6 * -6 + 7v * -6) + 7v * (6 + 7v)) = 0 ((-36 + -42v) + 7v * (6 + 7v)) = 0 (-36 + -42v + (6 * 7v + 7v * 7v)) = 0 (-36 + -42v + (42v + 49v2)) = 0 Combine like terms: -42v + 42v = 0 (-36 + 0 + 49v2) = 0 (-36 + 49v2) = 0 Solving -36 + 49v2 = 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 + 49v2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 49v2 = 0 + 36 49v2 = 0 + 36 Combine like terms: 0 + 36 = 36 49v2 = 36 Divide each side by '49'. v2 = 0.7346938776 Simplifying v2 = 0.7346938776 Take the square root of each side: v = {-0.857142857, 0.857142857}
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