=m^2-10m-39

Solution for =m^2-10m-39 equation:

Simplifying
0 = m2 + -10m + -39

Reorder the terms:
0 = -39 + -10m + m2

Solving
0 = -39 + -10m + m2

Solving for variable 'm'.

Combine like terms: 0 + 39 = 39
39 + 10m + -1m2 = -39 + -10m + m2 + 39 + 10m + -1m2

Reorder the terms:
39 + 10m + -1m2 = -39 + 39 + -10m + 10m + m2 + -1m2

Combine like terms: -39 + 39 = 0
39 + 10m + -1m2 = 0 + -10m + 10m + m2 + -1m2
39 + 10m + -1m2 = -10m + 10m + m2 + -1m2

Combine like terms: -10m + 10m = 0
39 + 10m + -1m2 = 0 + m2 + -1m2
39 + 10m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
39 + 10m + -1m2 = 0

Factor a trinomial.
(13 + -1m)(3 + m) = 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 '(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 = {13, -3}