m(m+13)=-30

Solution for m(m+13)=-30 equation:

Simplifying
m(m + 13) = -30

Reorder the terms:
m(13 + m) = -30
(13 * m + m * m) = -30
(13m + m2) = -30

Solving
13m + m2 = -30

Solving for variable 'm'.

Reorder the terms:
30 + 13m + m2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 13m + m2 = 0

Factor a trinomial.
(10 + m)(3 + m) = 0

Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-10, -3}