3n^2-2n=-3

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

Simplifying
3n2 + -2n = -3

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

Solving
-2n + 3n2 = -3

Solving for variable 'n'.

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

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

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1 + -0.6666666667n + n2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667n + -1 + n2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667n + n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667n + n2 = 0 + -1
-0.6666666667n + n2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667n + n2 = -1

The n term is -0.6666666667n.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667n + 0.1111111112 + n2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667n + n2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667n + n2 = -0.8888888888

Factor a perfect square on the left side:
(n + -0.3333333334)(n + -0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.