-4r^2+100s^2=0

Solution for -4r^2+100s^2=0 equation:

Simplifying
-4r2 + 100s2 = 0

Solving
-4r2 + 100s2 = 0

Solving for variable 'r'.

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

Add '-100s2' to each side of the equation.
-4r2 + 100s2 + -100s2 = 0 + -100s2

Combine like terms: 100s2 + -100s2 = 0
-4r2 + 0 = 0 + -100s2
-4r2 = 0 + -100s2
Remove the zero:
-4r2 = -100s2

Divide each side by '-4'.
r2 = 25s2

Simplifying
r2 = 25s2

Take the square root of each side:
r = {-5s, 5s}