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Simplifying (8 + -1v)(8 + v) = 0 Multiply (8 + -1v) * (8 + v) (8(8 + v) + -1v * (8 + v)) = 0 ((8 * 8 + v * 8) + -1v * (8 + v)) = 0 ((64 + 8v) + -1v * (8 + v)) = 0 (64 + 8v + (8 * -1v + v * -1v)) = 0 (64 + 8v + (-8v + -1v2)) = 0 Combine like terms: 8v + -8v = 0 (64 + 0 + -1v2) = 0 (64 + -1v2) = 0 Solving 64 + -1v2 = 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 + -1v2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1v2 = 0 + -64 -1v2 = 0 + -64 Combine like terms: 0 + -64 = -64 -1v2 = -64 Divide each side by '-1'. v2 = 64 Simplifying v2 = 64 Take the square root of each side: v = {-8, 8}
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