3r^2-1=0

Solution for 3r^2-1=0 equation:

Simplifying
3r2 + -1 = 0

Reorder the terms:
-1 + 3r2 = 0

Solving
-1 + 3r2 = 0

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + 3r2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3r2 = 0 + 1
3r2 = 0 + 1

Combine like terms: 0 + 1 = 1
3r2 = 1

Divide each side by '3'.
r2 = 0.3333333333

Simplifying
r2 = 0.3333333333

Take the square root of each side:
r = {-0.577350269, 0.577350269}