6y^2+12y+13=2y+4

Solution for 6y^2+12y+13=2y+4 equation:

Simplifying
6y2 + 12y + 13 = 2y + 4

Reorder the terms:
13 + 12y + 6y2 = 2y + 4

Reorder the terms:
13 + 12y + 6y2 = 4 + 2y

Solving
13 + 12y + 6y2 = 4 + 2y

Solving for variable 'y'.

Reorder the terms:
13 + -4 + 12y + -2y + 6y2 = 4 + 2y + -4 + -2y

Combine like terms: 13 + -4 = 9
9 + 12y + -2y + 6y2 = 4 + 2y + -4 + -2y

Combine like terms: 12y + -2y = 10y
9 + 10y + 6y2 = 4 + 2y + -4 + -2y

Reorder the terms:
9 + 10y + 6y2 = 4 + -4 + 2y + -2y

Combine like terms: 4 + -4 = 0
9 + 10y + 6y2 = 0 + 2y + -2y
9 + 10y + 6y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
9 + 10y + 6y2 = 0

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

Divide each side by '6'.
1.5 + 1.666666667y + y2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.666666667y + -1.5 + y2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.666666667y + y2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.666666667y + y2 = 0 + -1.5
1.666666667y + y2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.666666667y + y2 = -1.5

The y term is 1.666666667y.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667y + 0.6944444447 + y2 = -1.5 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667y + y2 = -1.5 + 0.6944444447

Combine like terms: -1.5 + 0.6944444447 = -0.8055555553
0.6944444447 + 1.666666667y + y2 = -0.8055555553

Factor a perfect square on the left side:
(y + 0.8333333335)(y + 0.8333333335) = -0.8055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.