(m-6)(m-4)=

Solution for (m-6)(m-4)= equation:

Simplifying
(m + -6)(m + -4) = 0

Reorder the terms:
(-6 + m)(m + -4) = 0

Reorder the terms:
(-6 + m)(-4 + m) = 0

Multiply (-6 + m) * (-4 + m)
(-6(-4 + m) + m(-4 + m)) = 0
((-4 * -6 + m * -6) + m(-4 + m)) = 0
((24 + -6m) + m(-4 + m)) = 0
(24 + -6m + (-4 * m + m * m)) = 0
(24 + -6m + (-4m + m2)) = 0

Combine like terms: -6m + -4m = -10m
(24 + -10m + m2) = 0

Solving
24 + -10m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + -1m)(6 + -1m) = 0

Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
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 = {4, 6}