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Simplifying (4v + 6)(4v + -6) = 0 Reorder the terms: (6 + 4v)(4v + -6) = 0 Reorder the terms: (6 + 4v)(-6 + 4v) = 0 Multiply (6 + 4v) * (-6 + 4v) (6(-6 + 4v) + 4v * (-6 + 4v)) = 0 ((-6 * 6 + 4v * 6) + 4v * (-6 + 4v)) = 0 ((-36 + 24v) + 4v * (-6 + 4v)) = 0 (-36 + 24v + (-6 * 4v + 4v * 4v)) = 0 (-36 + 24v + (-24v + 16v2)) = 0 Combine like terms: 24v + -24v = 0 (-36 + 0 + 16v2) = 0 (-36 + 16v2) = 0 Solving -36 + 16v2 = 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 + 16v2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16v2 = 0 + 36 16v2 = 0 + 36 Combine like terms: 0 + 36 = 36 16v2 = 36 Divide each side by '16'. v2 = 2.25 Simplifying v2 = 2.25 Take the square root of each side: v = {-1.5, 1.5}
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