q^2+10q+9=0

Solution for q^2+10q+9=0 equation:

Simplifying
q2 + 10q + 9 = 0

Reorder the terms:
9 + 10q + q2 = 0

Solving
9 + 10q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(9 + q)' equal to zero and attempt to solve:

Simplifying
9 + q = 0

Solving
9 + q = 0

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

Add '-9' to each side of the equation.
9 + -9 + q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + q = 0 + -9
q = 0 + -9

Combine like terms: 0 + -9 = -9
q = -9

Simplifying
q = -9
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 = {-9, -1}