4w^2-49u^2=0

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

Simplifying
4w2 + -49u2 = 0

Reorder the terms:
-49u2 + 4w2 = 0

Solving
-49u2 + 4w2 = 0

Solving for variable 'u'.

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

Add '-4w2' to each side of the equation.
-49u2 + 4w2 + -4w2 = 0 + -4w2

Combine like terms: 4w2 + -4w2 = 0
-49u2 + 0 = 0 + -4w2
-49u2 = 0 + -4w2
Remove the zero:
-49u2 = -4w2

Divide each side by '-49'.
u2 = 0.08163265306w2

Simplifying
u2 = 0.08163265306w2

Take the square root of each side:
u = {-0.285714286w, 0.285714286w}