12-11q-5q^2=0

Solution for 12-11q-5q^2=0 equation:

Simplifying
12 + -11q + -5q2 = 0

Solving
12 + -11q + -5q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(4 + -5q)(3 + q) = 0

Subproblem 1
Set the factor '(4 + -5q)' equal to zero and attempt to solve:

Simplifying
4 + -5q = 0

Solving
4 + -5q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5q = 0 + -4
-5q = 0 + -4

Combine like terms: 0 + -4 = -4
-5q = -4

Divide each side by '-5'.
q = 0.8

Simplifying
q = 0.8
Subproblem 2
Set the factor '(3 + q)' equal to zero and attempt to solve:

Simplifying
3 + q = 0

Solving
3 + q = 0

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

Add '-3' to each side of the equation.
3 + -3 + q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + q = 0 + -3
q = 0 + -3

Combine like terms: 0 + -3 = -3
q = -3

Simplifying
q = -3
Solution
q = {0.8, -3}