256=12r^2

Solution for 256=12r^2 equation:

Simplifying
256 = 12r2

Solving
256 = 12r2

Solving for variable 'r'.

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

Add '-12r2' to each side of the equation.
256 + -12r2 = 12r2 + -12r2

Combine like terms: 12r2 + -12r2 = 0
256 + -12r2 = 0

Add '-256' to each side of the equation.
256 + -256 + -12r2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + -12r2 = 0 + -256
-12r2 = 0 + -256

Combine like terms: 0 + -256 = -256
-12r2 = -256

Divide each side by '-12'.
r2 = 21.33333333

Simplifying
r2 = 21.33333333

Take the square root of each side:
r = {-4.618802153, 4.618802153}