q^2+11q+10=0

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

Simplifying
q2 + 11q + 10 = 0

Reorder the terms:
10 + 11q + q2 = 0

Solving
10 + 11q + q2 = 0

Solving for variable 'q'.

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

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

Simplifying
10 + q = 0

Solving
10 + q = 0

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

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

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

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

Simplifying
q = -10
Subproblem 2
Set the factor '(1 + q)' equal to zero and attempt to solve:

Simplifying
1 + q = 0

Solving
1 + q = 0

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

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

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

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

Simplifying
q = -1
Solution
q = {-10, -1}