5625=r^2(25)

Solution for 5625=r^2(25) equation:

Simplifying
5625 = r2(25)

Reorder the terms for easier multiplication:
5625 = 25r2

Solving
5625 = 25r2

Solving for variable 'r'.

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

Add '-25r2' to each side of the equation.
5625 + -25r2 = 25r2 + -25r2

Combine like terms: 25r2 + -25r2 = 0
5625 + -25r2 = 0

Add '-5625' to each side of the equation.
5625 + -5625 + -25r2 = 0 + -5625

Combine like terms: 5625 + -5625 = 0
0 + -25r2 = 0 + -5625
-25r2 = 0 + -5625

Combine like terms: 0 + -5625 = -5625
-25r2 = -5625

Divide each side by '-25'.
r2 = 225

Simplifying
r2 = 225

Take the square root of each side:
r = {-15, 15}