3n^2-2n-1=-1

Solution for 3n^2-2n-1=-1 equation:

Simplifying
3n2 + -2n + -1 = -1

Reorder the terms:
-1 + -2n + 3n2 = -1

Add '1' to each side of the equation.
-1 + -2n + 1 + 3n2 = -1 + 1

Reorder the terms:
-1 + 1 + -2n + 3n2 = -1 + 1

Combine like terms: -1 + 1 = 0
0 + -2n + 3n2 = -1 + 1
-2n + 3n2 = -1 + 1

Combine like terms: -1 + 1 = 0
-2n + 3n2 = 0

Solving
-2n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2 + 3n) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-2 + 3n)' equal to zero and attempt to solve:

Simplifying
-2 + 3n = 0

Solving
-2 + 3n = 0

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

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

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

Combine like terms: 0 + 2 = 2
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667
Solution
n = {0, 0.6666666667}