3(y^2+2y+2)+2(y^2+2y+3)=

Solution for 3(y^2+2y+2)+2(y^2+2y+3)= equation:

Simplifying
3(y2 + 2y + 2) + 2(y2 + 2y + 3) = 0

Reorder the terms:
3(2 + 2y + y2) + 2(y2 + 2y + 3) = 0
(2 * 3 + 2y * 3 + y2 * 3) + 2(y2 + 2y + 3) = 0
(6 + 6y + 3y2) + 2(y2 + 2y + 3) = 0

Reorder the terms:
6 + 6y + 3y2 + 2(3 + 2y + y2) = 0
6 + 6y + 3y2 + (3 * 2 + 2y * 2 + y2 * 2) = 0
6 + 6y + 3y2 + (6 + 4y + 2y2) = 0

Reorder the terms:
6 + 6 + 6y + 4y + 3y2 + 2y2 = 0

Combine like terms: 6 + 6 = 12
12 + 6y + 4y + 3y2 + 2y2 = 0

Combine like terms: 6y + 4y = 10y
12 + 10y + 3y2 + 2y2 = 0

Combine like terms: 3y2 + 2y2 = 5y2
12 + 10y + 5y2 = 0

Solving
12 + 10y + 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'.
2.4 + 2y + y2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + 2y + -2.4 + y2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + 2y + y2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2y + y2 = 0 + -2.4
2y + y2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
2y + y2 = -2.4

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -2.4 + 1

Reorder the terms:
1 + 2y + y2 = -2.4 + 1

Combine like terms: -2.4 + 1 = -1.4
1 + 2y + y2 = -1.4

Factor a perfect square on the left side:
(y + 1)(y + 1) = -1.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.