(m-5)(m+9)=0

Solution for (m-5)(m+9)=0 equation:

Simplifying
(m + -5)(m + 9) = 0

Reorder the terms:
(-5 + m)(m + 9) = 0

Reorder the terms:
(-5 + m)(9 + m) = 0

Multiply (-5 + m) * (9 + m)
(-5(9 + m) + m(9 + m)) = 0
((9 * -5 + m * -5) + m(9 + m)) = 0
((-45 + -5m) + m(9 + m)) = 0
(-45 + -5m + (9 * m + m * m)) = 0
(-45 + -5m + (9m + m2)) = 0

Combine like terms: -5m + 9m = 4m
(-45 + 4m + m2) = 0

Solving
-45 + 4m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -1m)(5 + -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 '(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 = {-9, 5}