-6q^2+8q-2=0

Solution for -6q^2+8q-2=0 equation:

Simplifying
-6q2 + 8q + -2 = 0

Reorder the terms:
-2 + 8q + -6q2 = 0

Solving
-2 + 8q + -6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4q + -3q2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {1, 0.3333333333}