g^2+17g+16=0

Solution for g^2+17g+16=0 equation:

Simplifying
g2 + 17g + 16 = 0

Reorder the terms:
16 + 17g + g2 = 0

Solving
16 + 17g + g2 = 0

Solving for variable 'g'.

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

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

Simplifying
16 + g = 0

Solving
16 + g = 0

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

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

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

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

Simplifying
g = -16
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

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

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

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

Simplifying
g = -1
Solution
g = {-16, -1}