16+17m+m^2=

Solution for 16+17m+m^2= equation:

Simplifying
16 + 17m + m2 = 0

Solving
16 + 17m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(16 + m)(1 + m) = 0

Subproblem 1
Set the factor '(16 + m)' equal to zero and attempt to solve:

Simplifying
16 + m = 0

Solving
16 + m = 0

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

Add '-16' to each side of the equation.
16 + -16 + m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + m = 0 + -16
m = 0 + -16

Combine like terms: 0 + -16 = -16
m = -16

Simplifying
m = -16
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 = {-16, -1}