4r^2-109=12

Solution for 4r^2-109=12 equation:

Simplifying
4r2 + -109 = 12

Reorder the terms:
-109 + 4r2 = 12

Solving
-109 + 4r2 = 12

Solving for variable 'r'.

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

Add '109' to each side of the equation.
-109 + 109 + 4r2 = 12 + 109

Combine like terms: -109 + 109 = 0
0 + 4r2 = 12 + 109
4r2 = 12 + 109

Combine like terms: 12 + 109 = 121
4r2 = 121

Divide each side by '4'.
r2 = 30.25

Simplifying
r2 = 30.25

Take the square root of each side:
r = {-5.5, 5.5}