167.3306=3.1*r^2

Solution for 167.3306=3.1*r^2 equation:

Simplifying
167.3306 = 3.1r2

Solving
167.3306 = 3.1r2

Solving for variable 'r'.

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

Add '-3.1r2' to each side of the equation.
167.3306 + -3.1r2 = 3.1r2 + -3.1r2

Combine like terms: 3.1r2 + -3.1r2 = 0.0
167.3306 + -3.1r2 = 0.0

Add '-167.3306' to each side of the equation.
167.3306 + -167.3306 + -3.1r2 = 0.0 + -167.3306

Combine like terms: 167.3306 + -167.3306 = 0.0000
0.0000 + -3.1r2 = 0.0 + -167.3306
-3.1r2 = 0.0 + -167.3306

Combine like terms: 0.0 + -167.3306 = -167.3306
-3.1r2 = -167.3306

Divide each side by '-3.1'.
r2 = 53.9776129

Simplifying
r2 = 53.9776129

Take the square root of each side:
r = {-7.346945821, 7.346945821}