7n^2-4n=-1

Solution for 7n^2-4n=-1 equation:

Simplifying
7n2 + -4n = -1

Reorder the terms:
-4n + 7n2 = -1

Solving
-4n + 7n2 = -1

Solving for variable 'n'.

Reorder the terms:
1 + -4n + 7n2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -4n + 7n2 = 0

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

Divide each side by '7'.
0.1428571429 + -0.5714285714n + n2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.5714285714n + -0.1428571429 + n2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + -0.5714285714n + n2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + -0.5714285714n + n2 = 0 + -0.1428571429
-0.5714285714n + n2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
-0.5714285714n + n2 = -0.1428571429

The n term is -0.5714285714n.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714n + 0.08163265305 + n2 = -0.1428571429 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714n + n2 = -0.1428571429 + 0.08163265305

Combine like terms: -0.1428571429 + 0.08163265305 = -0.06122448985
0.08163265305 + -0.5714285714n + n2 = -0.06122448985

Factor a perfect square on the left side:
(n + -0.2857142857)(n + -0.2857142857) = -0.06122448985

Can't calculate square root of the right side.

The solution to this equation could not be determined.