(3m+1)(3m-1)=0

Solution for (3m+1)(3m-1)=0 equation:

Simplifying
(3m + 1)(3m + -1) = 0

Reorder the terms:
(1 + 3m)(3m + -1) = 0

Reorder the terms:
(1 + 3m)(-1 + 3m) = 0

Multiply (1 + 3m) * (-1 + 3m)
(1(-1 + 3m) + 3m * (-1 + 3m)) = 0
((-1 * 1 + 3m * 1) + 3m * (-1 + 3m)) = 0
((-1 + 3m) + 3m * (-1 + 3m)) = 0
(-1 + 3m + (-1 * 3m + 3m * 3m)) = 0
(-1 + 3m + (-3m + 9m2)) = 0

Combine like terms: 3m + -3m = 0
(-1 + 0 + 9m2) = 0
(-1 + 9m2) = 0

Solving
-1 + 9m2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 9m2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9m2 = 0 + 1
9m2 = 0 + 1

Combine like terms: 0 + 1 = 1
9m2 = 1

Divide each side by '9'.
m2 = 0.1111111111

Simplifying
m2 = 0.1111111111

Take the square root of each side:
m = {-0.333333333, 0.333333333}