(m-3)(m+9)=0

Solution for (m-3)(m+9)=0 equation:

Simplifying
(m + -3)(m + 9) = 0

Reorder the terms:
(-3 + m)(m + 9) = 0

Reorder the terms:
(-3 + m)(9 + m) = 0

Multiply (-3 + m) * (9 + m)
(-3(9 + m) + m(9 + m)) = 0
((9 * -3 + m * -3) + m(9 + m)) = 0
((-27 + -3m) + m(9 + m)) = 0
(-27 + -3m + (9 * m + m * m)) = 0
(-27 + -3m + (9m + m2)) = 0

Combine like terms: -3m + 9m = 6m
(-27 + 6m + m2) = 0

Solving
-27 + 6m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m)(3 + -1m) = 0

Subproblem 1
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
Subproblem 2
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
Solution
m = {-9, 3}