2n^2-n=-12

Solution for 2n^2-n=-12 equation:

Simplifying
2n2 + -1n = -12

Reorder the terms:
-1n + 2n2 = -12

Solving
-1n + 2n2 = -12

Solving for variable 'n'.

Reorder the terms:
12 + -1n + 2n2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -1n + 2n2 = 0

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

Divide each side by '2'.
6 + -0.5n + n2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.5n + -6 + n2 = 0 + -6

Reorder the terms:
6 + -6 + -0.5n + n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5n + n2 = 0 + -6
-0.5n + n2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.5n + n2 = -6

The n term is -0.5n.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5n + 0.0625 + n2 = -6 + 0.0625

Reorder the terms:
0.0625 + -0.5n + n2 = -6 + 0.0625

Combine like terms: -6 + 0.0625 = -5.9375
0.0625 + -0.5n + n2 = -5.9375

Factor a perfect square on the left side:
(n + -0.25)(n + -0.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.