5y^2-y+3=0

Solution for 5y^2-y+3=0 equation:

Simplifying
5y2 + -1y + 3 = 0

Reorder the terms:
3 + -1y + 5y2 = 0

Solving
3 + -1y + 5y2 = 0

Solving for variable 'y'.

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

Divide each side by '5'.
0.6 + -0.2y + y2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.2y + -0.6 + y2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.2y + y2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2y + y2 = 0 + -0.6
-0.2y + y2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.2y + y2 = -0.6

The y term is -0.2y.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2y + 0.01 + y2 = -0.6 + 0.01

Reorder the terms:
0.01 + -0.2y + y2 = -0.6 + 0.01

Combine like terms: -0.6 + 0.01 = -0.59
0.01 + -0.2y + y2 = -0.59

Factor a perfect square on the left side:
(y + -0.1)(y + -0.1) = -0.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.