Q^2+6Q+5=0

Solution for Q^2+6Q+5=0 equation:

Simplifying
Q2 + 6Q + 5 = 0

Reorder the terms:
5 + 6Q + Q2 = 0

Solving
5 + 6Q + Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(5 + Q)(1 + Q) = 0

Subproblem 1
Set the factor '(5 + Q)' equal to zero and attempt to solve:

Simplifying
5 + Q = 0

Solving
5 + Q = 0

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

Add '-5' to each side of the equation.
5 + -5 + Q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + Q = 0 + -5
Q = 0 + -5

Combine like terms: 0 + -5 = -5
Q = -5

Simplifying
Q = -5
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 = {-5, -1}