49w^2-v^2=0

Solution for 49w^2-v^2=0 equation:

Simplifying
49w2 + -1v2 = 0

Reorder the terms:
-1v2 + 49w2 = 0

Solving
-1v2 + 49w2 = 0

Solving for variable 'v'.

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

Add '-49w2' to each side of the equation.
-1v2 + 49w2 + -49w2 = 0 + -49w2

Combine like terms: 49w2 + -49w2 = 0
-1v2 + 0 = 0 + -49w2
-1v2 = 0 + -49w2
Remove the zero:
-1v2 = -49w2

Divide each side by '-1'.
v2 = 49w2

Simplifying
v2 = 49w2

Take the square root of each side:
v = {-7w, 7w}