(m-6)(3m-1)=0

Solution for (m-6)(3m-1)=0 equation:

Simplifying
(m + -6)(3m + -1) = 0

Reorder the terms:
(-6 + m)(3m + -1) = 0

Reorder the terms:
(-6 + m)(-1 + 3m) = 0

Multiply (-6 + m) * (-1 + 3m)
(-6(-1 + 3m) + m(-1 + 3m)) = 0
((-1 * -6 + 3m * -6) + m(-1 + 3m)) = 0
((6 + -18m) + m(-1 + 3m)) = 0
(6 + -18m + (-1 * m + 3m * m)) = 0
(6 + -18m + (-1m + 3m2)) = 0

Combine like terms: -18m + -1m = -19m
(6 + -19m + 3m2) = 0

Solving
6 + -19m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -3m)(6 + -1m) = 0

Subproblem 1
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

Solving
1 + -3m = 0

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

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

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

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

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {0.3333333333, 6}