-2n^2=-n+1

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

Simplifying
-2n2 = -1n + 1

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

Solving
-2n2 = 1 + -1n

Solving for variable 'n'.

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

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

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

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

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

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

Move the constant term to the right:

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

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

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5n + n2 = 0 + -0.5
-0.5n + n2 = 0 + -0.5

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

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

Add '0.25' to each side of the equation.
-0.5n + 0.25 + n2 = -0.5 + 0.25

Reorder the terms:
0.25 + -0.5n + n2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.5n + n2 = -0.25

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.