4y^2+14y+13=0

Solution for 4y^2+14y+13=0 equation:

Simplifying
4y2 + 14y + 13 = 0

Reorder the terms:
13 + 14y + 4y2 = 0

Solving
13 + 14y + 4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
3.25 + 3.5y + y2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + 3.5y + -3.25 + y2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + 3.5y + y2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + 3.5y + y2 = 0 + -3.25
3.5y + y2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
3.5y + y2 = -3.25

The y term is 3.5y.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5y + 3.0625 + y2 = -3.25 + 3.0625

Reorder the terms:
3.0625 + 3.5y + y2 = -3.25 + 3.0625

Combine like terms: -3.25 + 3.0625 = -0.1875
3.0625 + 3.5y + y2 = -0.1875

Factor a perfect square on the left side:
(y + 1.75)(y + 1.75) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.