2v^4-72u^2v^2=0

Solution for 2v^4-72u^2v^2=0 equation:

Simplifying
2v4 + -72u2v2 = 0

Reorder the terms:
-72u2v2 + 2v4 = 0

Solving
-72u2v2 + 2v4 = 0

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-2v4' to each side of the equation.
-72u2v2 + 2v4 + -2v4 = 0 + -2v4

Combine like terms: 2v4 + -2v4 = 0
-72u2v2 + 0 = 0 + -2v4
-72u2v2 = 0 + -2v4
Remove the zero:
-72u2v2 = -2v4

Divide each side by '-72v2'.
u2 = 0.02777777778v2

Simplifying
u2 = 0.02777777778v2

Take the square root of each side:
u = {-0.166666667v, 0.166666667v}