7n^2-2n=-3

Solution for 7n^2-2n=-3 equation:

Simplifying
7n2 + -2n = -3

Reorder the terms:
-2n + 7n2 = -3

Solving
-2n + 7n2 = -3

Solving for variable 'n'.

Reorder the terms:
3 + -2n + 7n2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -2n + 7n2 = 0

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

Divide each side by '7'.
0.4285714286 + -0.2857142857n + n2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -0.2857142857n + -0.4285714286 + n2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -0.2857142857n + n2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -0.2857142857n + n2 = 0 + -0.4285714286
-0.2857142857n + n2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-0.2857142857n + n2 = -0.4285714286

The n term is -0.2857142857n.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857n + 0.02040816328 + n2 = -0.4285714286 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857n + n2 = -0.4285714286 + 0.02040816328

Combine like terms: -0.4285714286 + 0.02040816328 = -0.40816326532
0.02040816328 + -0.2857142857n + n2 = -0.40816326532

Factor a perfect square on the left side:
(n + -0.1428571429)(n + -0.1428571429) = -0.40816326532

Can't calculate square root of the right side.

The solution to this equation could not be determined.