49v^2-4u^2=0

Solution for 49v^2-4u^2=0 equation:

Simplifying
49v2 + -4u2 = 0

Reorder the terms:
-4u2 + 49v2 = 0

Solving
-4u2 + 49v2 = 0

Solving for variable 'u'.

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

Add '-49v2' to each side of the equation.
-4u2 + 49v2 + -49v2 = 0 + -49v2

Combine like terms: 49v2 + -49v2 = 0
-4u2 + 0 = 0 + -49v2
-4u2 = 0 + -49v2
Remove the zero:
-4u2 = -49v2

Divide each side by '-4'.
u2 = 12.25v2

Simplifying
u2 = 12.25v2

Take the square root of each side:
u = {-3.5v, 3.5v}