5+17q-12q^2=0

Solution for 5+17q-12q^2=0 equation:

Simplifying
5 + 17q + -12q2 = 0

Solving
5 + 17q + -12q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(5 + -3q)(1 + 4q) = 0

Subproblem 1
Set the factor '(5 + -3q)' equal to zero and attempt to solve:

Simplifying
5 + -3q = 0

Solving
5 + -3q = 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 + -3q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3q = 0 + -5
-3q = 0 + -5

Combine like terms: 0 + -5 = -5
-3q = -5

Divide each side by '-3'.
q = 1.666666667

Simplifying
q = 1.666666667
Subproblem 2
Set the factor '(1 + 4q)' equal to zero and attempt to solve:

Simplifying
1 + 4q = 0

Solving
1 + 4q = 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 + 4q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4q = 0 + -1
4q = 0 + -1

Combine like terms: 0 + -1 = -1
4q = -1

Divide each side by '4'.
q = -0.25

Simplifying
q = -0.25
Solution
q = {1.666666667, -0.25}