(11v-12)(12+11v)=

Solution for (11v-12)(12+11v)= equation:

Simplifying
(11v + -12)(12 + 11v) = 0

Reorder the terms:
(-12 + 11v)(12 + 11v) = 0

Multiply (-12 + 11v) * (12 + 11v)
(-12(12 + 11v) + 11v * (12 + 11v)) = 0
((12 * -12 + 11v * -12) + 11v * (12 + 11v)) = 0
((-144 + -132v) + 11v * (12 + 11v)) = 0
(-144 + -132v + (12 * 11v + 11v * 11v)) = 0
(-144 + -132v + (132v + 121v2)) = 0

Combine like terms: -132v + 132v = 0
(-144 + 0 + 121v2) = 0
(-144 + 121v2) = 0

Solving
-144 + 121v2 = 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 + 121v2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 121v2 = 0 + 144
121v2 = 0 + 144

Combine like terms: 0 + 144 = 144
121v2 = 144

Divide each side by '121'.
v2 = 1.190082645

Simplifying
v2 = 1.190082645

Take the square root of each side:
v = {-1.090909091, 1.090909091}