(m-2)(m-5)=

Solution for (m-2)(m-5)= equation:

Simplifying
(m + -2)(m + -5) = 0

Reorder the terms:
(-2 + m)(m + -5) = 0

Reorder the terms:
(-2 + m)(-5 + m) = 0

Multiply (-2 + m) * (-5 + m)
(-2(-5 + m) + m(-5 + m)) = 0
((-5 * -2 + m * -2) + m(-5 + m)) = 0
((10 + -2m) + m(-5 + m)) = 0
(10 + -2m + (-5 * m + m * m)) = 0
(10 + -2m + (-5m + m2)) = 0

Combine like terms: -2m + -5m = -7m
(10 + -7m + m2) = 0

Solving
10 + -7m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -1m)(5 + -1m) = 0

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
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 = {2, 5}