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Simplifying (v + -8)(v + 8) = 0 Reorder the terms: (-8 + v)(v + 8) = 0 Reorder the terms: (-8 + v)(8 + v) = 0 Multiply (-8 + v) * (8 + v) (-8(8 + v) + v(8 + v)) = 0 ((8 * -8 + v * -8) + v(8 + v)) = 0 ((-64 + -8v) + v(8 + v)) = 0 (-64 + -8v + (8 * v + v * v)) = 0 (-64 + -8v + (8v + v2)) = 0 Combine like terms: -8v + 8v = 0 (-64 + 0 + v2) = 0 (-64 + v2) = 0 Solving -64 + v2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + v2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + v2 = 0 + 64 v2 = 0 + 64 Combine like terms: 0 + 64 = 64 v2 = 64 Simplifying v2 = 64 Take the square root of each side: v = {-8, 8}
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