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Simplifying
(8 + -9v)(8 + 9v) = 0
Multiply (8 + -9v) * (8 + 9v)
(8(8 + 9v) + -9v * (8 + 9v)) = 0
((8 * 8 + 9v * 8) + -9v * (8 + 9v)) = 0
((64 + 72v) + -9v * (8 + 9v)) = 0
(64 + 72v + (8 * -9v + 9v * -9v)) = 0
(64 + 72v + (-72v + -81v2)) = 0
Combine like terms: 72v + -72v = 0
(64 + 0 + -81v2) = 0
(64 + -81v2) = 0
Solving
64 + -81v2 = 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 + -81v2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -81v2 = 0 + -64
-81v2 = 0 + -64
Combine like terms: 0 + -64 = -64
-81v2 = -64
Divide each side by '-81'.
v2 = 0.7901234568
Simplifying
v2 = 0.7901234568
Take the square root of each side:
v = {-0.888888889, 0.888888889}
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