2n^2-2n+7=0

Solution for 2n^2-2n+7=0 equation:

Simplifying
2n2 + -2n + 7 = 0

Reorder the terms:
7 + -2n + 2n2 = 0

Solving
7 + -2n + 2n2 = 0

Solving for variable 'n'.

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

Divide each side by '2'.
3.5 + -1n + n2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1n + -3.5 + n2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1n + n2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1n + n2 = 0 + -3.5
-1n + n2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1n + n2 = -3.5

The n term is -1n.  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.
-1n + 0.25 + n2 = -3.5 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + -1n + n2 = -3.25

Factor a perfect square on the left side:
(n + -0.5)(n + -0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.