25v^2-144w^2=0

Solution for 25v^2-144w^2=0 equation:

Simplifying
25v2 + -144w2 = 0

Solving
25v2 + -144w2 = 0

Solving for variable 'v'.

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

Add '144w2' to each side of the equation.
25v2 + -144w2 + 144w2 = 0 + 144w2

Combine like terms: -144w2 + 144w2 = 0
25v2 + 0 = 0 + 144w2
25v2 = 0 + 144w2
Remove the zero:
25v2 = 144w2

Divide each side by '25'.
v2 = 5.76w2

Simplifying
v2 = 5.76w2

Take the square root of each side:
v = {-2.4w, 2.4w}