(m-6)(m+3)=

Solution for (m-6)(m+3)= equation:

Simplifying
(m + -6)(m + 3) = 0

Reorder the terms:
(-6 + m)(m + 3) = 0

Reorder the terms:
(-6 + m)(3 + m) = 0

Multiply (-6 + m) * (3 + m)
(-6(3 + m) + m(3 + m)) = 0
((3 * -6 + m * -6) + m(3 + m)) = 0
((-18 + -6m) + m(3 + m)) = 0
(-18 + -6m + (3 * m + m * m)) = 0
(-18 + -6m + (3m + m2)) = 0

Combine like terms: -6m + 3m = -3m
(-18 + -3m + m2) = 0

Solving
-18 + -3m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -1m)(6 + -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 '(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 = {-3, 6}