3m+6+m^2+5m+1=

Solution for 3m+6+m^2+5m+1= equation:

Simplifying
3m + 6 + m2 + 5m + 1 = 0

Reorder the terms:
6 + 1 + 3m + 5m + m2 = 0

Combine like terms: 6 + 1 = 7
7 + 3m + 5m + m2 = 0

Combine like terms: 3m + 5m = 8m
7 + 8m + m2 = 0

Solving
7 + 8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + m)(1 + 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 '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1
Solution
m = {-7, -1}