45v^2-320w^2=

Solution for 45v^2-320w^2= equation:

Simplifying
45v2 + -320w2 = 0

Solving
45v2 + -320w2 = 0

Solving for variable 'v'.

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

Add '320w2' to each side of the equation.
45v2 + -320w2 + 320w2 = 0 + 320w2

Combine like terms: -320w2 + 320w2 = 0
45v2 + 0 = 0 + 320w2
45v2 = 0 + 320w2
Remove the zero:
45v2 = 320w2

Divide each side by '45'.
v2 = 7.111111111w2

Simplifying
v2 = 7.111111111w2

Take the square root of each side:
v = {-2.666666667w, 2.666666667w}