7n^2+2=5n

Solution for 7n^2+2=5n equation:

Simplifying
7n2 + 2 = 5n

Reorder the terms:
2 + 7n2 = 5n

Solving
2 + 7n2 = 5n

Solving for variable 'n'.

Reorder the terms:
2 + -5n + 7n2 = 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -5n + 7n2 = 0

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

Divide each side by '7'.
0.2857142857 + -0.7142857143n + n2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.7142857143n + -0.2857142857 + n2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.7142857143n + n2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.7142857143n + n2 = 0 + -0.2857142857
-0.7142857143n + n2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.7142857143n + n2 = -0.2857142857

The n term is -0.7142857143n.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143n + 0.1275510204 + n2 = -0.2857142857 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143n + n2 = -0.2857142857 + 0.1275510204

Combine like terms: -0.2857142857 + 0.1275510204 = -0.1581632653
0.1275510204 + -0.7142857143n + n2 = -0.1581632653

Factor a perfect square on the left side:
(n + -0.3571428572)(n + -0.3571428572) = -0.1581632653

Can't calculate square root of the right side.

The solution to this equation could not be determined.