(m-1)(m-5)=0

Solution for (m-1)(m-5)=0 equation:

Simplifying
(m + -1)(m + -5) = 0

Reorder the terms:
(-1 + m)(m + -5) = 0

Reorder the terms:
(-1 + m)(-5 + m) = 0

Multiply (-1 + m) * (-5 + m)
(-1(-5 + m) + m(-5 + m)) = 0
((-5 * -1 + m * -1) + m(-5 + m)) = 0
((5 + -1m) + m(-5 + m)) = 0
(5 + -1m + (-5 * m + m * m)) = 0
(5 + -1m + (-5m + m2)) = 0

Combine like terms: -1m + -5m = -6m
(5 + -6m + m2) = 0

Solving
5 + -6m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(5 + -1m) = 0

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

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {1, 5}