m^2+3m+1=5

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

Simplifying
m2 + 3m + 1 = 5

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

Solving
1 + 3m + m2 = 5

Solving for variable 'm'.

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

Combine like terms: 1 + -5 = -4
-4 + 3m + m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-4 + 3m + m2 = 0

Factor a trinomial.
(-4 + -1m)(1 + -1m) = 0

Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

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

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

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

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

Simplifying
m = 1
Solution
m = {-4, 1}