(m+13)(m-4)=0

Solution for (m+13)(m-4)=0 equation:

Simplifying
(m + 13)(m + -4) = 0

Reorder the terms:
(13 + m)(m + -4) = 0

Reorder the terms:
(13 + m)(-4 + m) = 0

Multiply (13 + m) * (-4 + m)
(13(-4 + m) + m(-4 + m)) = 0
((-4 * 13 + m * 13) + m(-4 + m)) = 0
((-52 + 13m) + m(-4 + m)) = 0
(-52 + 13m + (-4 * m + m * m)) = 0
(-52 + 13m + (-4m + m2)) = 0

Combine like terms: 13m + -4m = 9m
(-52 + 9m + m2) = 0

Solving
-52 + 9m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-13 + -1m)(4 + -1m) = 0

Subproblem 1
Set the factor '(-13 + -1m)' equal to zero and attempt to solve:

Simplifying
-13 + -1m = 0

Solving
-13 + -1m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1m = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1m = 0 + 13
-1m = 0 + 13

Combine like terms: 0 + 13 = 13
-1m = 13

Divide each side by '-1'.
m = -13

Simplifying
m = -13
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-13, 4}