5r^2-5=59

Solution for 5r^2-5=59 equation:

Simplifying
5r2 + -5 = 59

Reorder the terms:
-5 + 5r2 = 59

Solving
-5 + 5r2 = 59

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + 5r2 = 59 + 5

Combine like terms: -5 + 5 = 0
0 + 5r2 = 59 + 5
5r2 = 59 + 5

Combine like terms: 59 + 5 = 64
5r2 = 64

Divide each side by '5'.
r2 = 12.8

Simplifying
r2 = 12.8

Take the square root of each side:
r = {-3.577708764, 3.577708764}