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Simplifying
(12 + -1v)(12 + v) = 0
Multiply (12 + -1v) * (12 + v)
(12(12 + v) + -1v * (12 + v)) = 0
((12 * 12 + v * 12) + -1v * (12 + v)) = 0
((144 + 12v) + -1v * (12 + v)) = 0
(144 + 12v + (12 * -1v + v * -1v)) = 0
(144 + 12v + (-12v + -1v2)) = 0
Combine like terms: 12v + -12v = 0
(144 + 0 + -1v2) = 0
(144 + -1v2) = 0
Solving
144 + -1v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-144' to each side of the equation.
144 + -144 + -1v2 = 0 + -144
Combine like terms: 144 + -144 = 0
0 + -1v2 = 0 + -144
-1v2 = 0 + -144
Combine like terms: 0 + -144 = -144
-1v2 = -144
Divide each side by '-1'.
v2 = 144
Simplifying
v2 = 144
Take the square root of each side:
v = {-12, 12}
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