6q^2-q-2=0

Solution for 6q^2-q-2=0 equation:

Simplifying
6q2 + -1q + -2 = 0

Reorder the terms:
-2 + -1q + 6q2 = 0

Solving
-2 + -1q + 6q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-1 + -2q)(2 + -3q) = 0

Subproblem 1
Set the factor '(-1 + -2q)' equal to zero and attempt to solve:

Simplifying
-1 + -2q = 0

Solving
-1 + -2q = 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 + -2q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2q = 0 + 1
-2q = 0 + 1

Combine like terms: 0 + 1 = 1
-2q = 1

Divide each side by '-2'.
q = -0.5

Simplifying
q = -0.5
Subproblem 2
Set the factor '(2 + -3q)' equal to zero and attempt to solve:

Simplifying
2 + -3q = 0

Solving
2 + -3q = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3q = 0 + -2
-3q = 0 + -2

Combine like terms: 0 + -2 = -2
-3q = -2

Divide each side by '-3'.
q = 0.6666666667

Simplifying
q = 0.6666666667
Solution
q = {-0.5, 0.6666666667}