m^2+9m+20=6

Solution for m^2+9m+20=6 equation:

Simplifying
m2 + 9m + 20 = 6

Reorder the terms:
20 + 9m + m2 = 6

Solving
20 + 9m + m2 = 6

Solving for variable 'm'.

Reorder the terms:
20 + -6 + 9m + m2 = 6 + -6

Combine like terms: 20 + -6 = 14
14 + 9m + m2 = 6 + -6

Combine like terms: 6 + -6 = 0
14 + 9m + m2 = 0

Factor a trinomial.
(7 + m)(2 + m) = 0

Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Simplifying
m = -7
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {-7, -2}