(m-3)(m-5)=

Solution for (m-3)(m-5)= equation:

Simplifying
(m + -3)(m + -5) = 0

Reorder the terms:
(-3 + m)(m + -5) = 0

Reorder the terms:
(-3 + m)(-5 + m) = 0

Multiply (-3 + m) * (-5 + m)
(-3(-5 + m) + m(-5 + m)) = 0
((-5 * -3 + m * -3) + m(-5 + m)) = 0
((15 + -3m) + m(-5 + m)) = 0
(15 + -3m + (-5 * m + m * m)) = 0
(15 + -3m + (-5m + m2)) = 0

Combine like terms: -3m + -5m = -8m
(15 + -8m + m2) = 0

Solving
15 + -8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -1m)(5 + -1m) = 0

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
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 = {3, 5}