0.05r^2+55-206.25=0

Solution for 0.05r^2+55-206.25=0 equation:

Simplifying
0.05r2 + 55 + -206.25 = 0

Reorder the terms:
55 + -206.25 + 0.05r2 = 0

Combine like terms: 55 + -206.25 = -151.25
-151.25 + 0.05r2 = 0

Solving
-151.25 + 0.05r2 = 0

Solving for variable 'r'.

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

Add '151.25' to each side of the equation.
-151.25 + 151.25 + 0.05r2 = 0 + 151.25

Combine like terms: -151.25 + 151.25 = 0.00
0.00 + 0.05r2 = 0 + 151.25
0.05r2 = 0 + 151.25

Combine like terms: 0 + 151.25 = 151.25
0.05r2 = 151.25

Divide each side by '0.05'.
r2 = 3025

Simplifying
r2 = 3025

Take the square root of each side:
r = {-55, 55}