37.5=5r^2

Solution for 37.5=5r^2 equation:

Simplifying
37.5 = 5r2

Solving
37.5 = 5r2

Solving for variable 'r'.

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

Add '-5r2' to each side of the equation.
37.5 + -5r2 = 5r2 + -5r2

Combine like terms: 5r2 + -5r2 = 0
37.5 + -5r2 = 0

Add '-37.5' to each side of the equation.
37.5 + -37.5 + -5r2 = 0 + -37.5

Combine like terms: 37.5 + -37.5 = 0.0
0.0 + -5r2 = 0 + -37.5
-5r2 = 0 + -37.5

Combine like terms: 0 + -37.5 = -37.5
-5r2 = -37.5

Divide each side by '-5'.
r2 = 7.5

Simplifying
r2 = 7.5

Take the square root of each side:
r = {-2.738612788, 2.738612788}