49r^2-64f^2=0

Solution for 49r^2-64f^2=0 equation:

Simplifying
49r2 + -64f2 = 0

Reorder the terms:
-64f2 + 49r2 = 0

Solving
-64f2 + 49r2 = 0

Solving for variable 'f'.

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

Add '-49r2' to each side of the equation.
-64f2 + 49r2 + -49r2 = 0 + -49r2

Combine like terms: 49r2 + -49r2 = 0
-64f2 + 0 = 0 + -49r2
-64f2 = 0 + -49r2
Remove the zero:
-64f2 = -49r2

Divide each side by '-64'.
f2 = 0.765625r2

Simplifying
f2 = 0.765625r2

Take the square root of each side:
f = {-0.875r, 0.875r}