(m-6)(m-9)=0

Solution for (m-6)(m-9)=0 equation:

Simplifying
(m + -6)(m + -9) = 0

Reorder the terms:
(-6 + m)(m + -9) = 0

Reorder the terms:
(-6 + m)(-9 + m) = 0

Multiply (-6 + m) * (-9 + m)
(-6(-9 + m) + m(-9 + m)) = 0
((-9 * -6 + m * -6) + m(-9 + m)) = 0
((54 + -6m) + m(-9 + m)) = 0
(54 + -6m + (-9 * m + m * m)) = 0
(54 + -6m + (-9m + m2)) = 0

Combine like terms: -6m + -9m = -15m
(54 + -15m + m2) = 0

Solving
54 + -15m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + -1m)(9 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve:

Simplifying
9 + -1m = 0

Solving
9 + -1m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1m = 0 + -9
-1m = 0 + -9

Combine like terms: 0 + -9 = -9
-1m = -9

Divide each side by '-1'.
m = 9

Simplifying
m = 9
Solution
m = {6, 9}