g^2+18g+17=0

Solution for g^2+18g+17=0 equation:

Simplifying
g2 + 18g + 17 = 0

Reorder the terms:
17 + 18g + g2 = 0

Solving
17 + 18g + g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(17 + g)' equal to zero and attempt to solve:

Simplifying
17 + g = 0

Solving
17 + g = 0

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

Add '-17' to each side of the equation.
17 + -17 + g = 0 + -17

Combine like terms: 17 + -17 = 0
0 + g = 0 + -17
g = 0 + -17

Combine like terms: 0 + -17 = -17
g = -17

Simplifying
g = -17
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 = {-17, -1}