7y^2-y+1=0

Solution for 7y^2-y+1=0 equation:

Simplifying
7y2 + -1y + 1 = 0

Reorder the terms:
1 + -1y + 7y2 = 0

Solving
1 + -1y + 7y2 = 0

Solving for variable 'y'.

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

Divide each side by '7'.
0.1428571429 + -0.1428571429y + y2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429y + -0.1428571429 + y2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + -0.1428571429y + y2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + -0.1428571429y + y2 = 0 + -0.1428571429
-0.1428571429y + y2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
-0.1428571429y + y2 = -0.1428571429

The y term is -0.1428571429y.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429y + 0.005102040819 + y2 = -0.1428571429 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429y + y2 = -0.1428571429 + 0.005102040819

Combine like terms: -0.1428571429 + 0.005102040819 = -0.137755102081
0.005102040819 + -0.1428571429y + y2 = -0.137755102081

Factor a perfect square on the left side:
(y + -0.07142857145)(y + -0.07142857145) = -0.137755102081

Can't calculate square root of the right side.

The solution to this equation could not be determined.