3a^2+2a^2+6a+6=

Solution for 3a^2+2a^2+6a+6= equation:

Simplifying
3a2 + 2a2 + 6a + 6 = 0

Reorder the terms:
6 + 6a + 3a2 + 2a2 = 0

Combine like terms: 3a2 + 2a2 = 5a2
6 + 6a + 5a2 = 0

Solving
6 + 6a + 5a2 = 0

Solving for variable 'a'.

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

Divide each side by '5'.
1.2 + 1.2a + a2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.2a + -1.2 + a2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.2a + a2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2a + a2 = 0 + -1.2
1.2a + a2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.2a + a2 = -1.2

The a term is 1.2a.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2a + 0.36 + a2 = -1.2 + 0.36

Reorder the terms:
0.36 + 1.2a + a2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + 1.2a + a2 = -0.84

Factor a perfect square on the left side:
(a + 0.6)(a + 0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.