3Q^2+31Q+10=0

Solution for 3Q^2+31Q+10=0 equation:

Simplifying
3Q2 + 31Q + 10 = 0

Reorder the terms:
10 + 31Q + 3Q2 = 0

Solving
10 + 31Q + 3Q2 = 0

Solving for variable 'Q'.

Factor a trinomial.
(10 + Q)(1 + 3Q) = 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 + 3Q)' equal to zero and attempt to solve:

Simplifying
1 + 3Q = 0

Solving
1 + 3Q = 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 + 3Q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3Q = 0 + -1
3Q = 0 + -1

Combine like terms: 0 + -1 = -1
3Q = -1

Divide each side by '3'.
Q = -0.3333333333

Simplifying
Q = -0.3333333333
Solution
Q = {-10, -0.3333333333}