g^2+11g+10=0

Solution for g^2+11g+10=0 equation:

Simplifying
g2 + 11g + 10 = 0

Reorder the terms:
10 + 11g + g2 = 0

Solving
10 + 11g + g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(10 + g)' equal to zero and attempt to solve:

Simplifying
10 + g = 0

Solving
10 + g = 0

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

Add '-10' to each side of the equation.
10 + -10 + g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + g = 0 + -10
g = 0 + -10

Combine like terms: 0 + -10 = -10
g = -10

Simplifying
g = -10
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 = {-10, -1}