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

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

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

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

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

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

Combine like terms: 3m + 1m = 4m
(-1 + 4m + -3m2) = 0

Solving
-1 + 4m + -3m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-1 + m = 0

Solving
-1 + m = 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 + m = 0 + 1

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

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

Simplifying
m = 1
Subproblem 2
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
Solution
m = {1, 0.3333333333}