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

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

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

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

Combine like terms: -6 + -5 = -11
-11 + 1 + 3m + m2 = 0

Combine like terms: -11 + 1 = -10
-10 + 3m + m2 = 0

Solving
-10 + 3m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -1m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 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 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-5, 2}