(a^2-4a+6)+(3a^2+13a+1)=

Solution for (a^2-4a+6)+(3a^2+13a+1)= equation:

Simplifying
(a2 + -4a + 6) + (3a2 + 13a + 1) = 0

Reorder the terms:
(6 + -4a + a2) + (3a2 + 13a + 1) = 0

Remove parenthesis around (6 + -4a + a2)
6 + -4a + a2 + (3a2 + 13a + 1) = 0

Reorder the terms:
6 + -4a + a2 + (1 + 13a + 3a2) = 0

Remove parenthesis around (1 + 13a + 3a2)
6 + -4a + a2 + 1 + 13a + 3a2 = 0

Reorder the terms:
6 + 1 + -4a + 13a + a2 + 3a2 = 0

Combine like terms: 6 + 1 = 7
7 + -4a + 13a + a2 + 3a2 = 0

Combine like terms: -4a + 13a = 9a
7 + 9a + a2 + 3a2 = 0

Combine like terms: a2 + 3a2 = 4a2
7 + 9a + 4a2 = 0

Solving
7 + 9a + 4a2 = 0

Solving for variable 'a'.

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

Divide each side by '4'.
1.75 + 2.25a + a2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + 2.25a + -1.75 + a2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + 2.25a + a2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + 2.25a + a2 = 0 + -1.75
2.25a + a2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
2.25a + a2 = -1.75

The a term is 2.25a.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25a + 1.265625 + a2 = -1.75 + 1.265625

Reorder the terms:
1.265625 + 2.25a + a2 = -1.75 + 1.265625

Combine like terms: -1.75 + 1.265625 = -0.484375
1.265625 + 2.25a + a2 = -0.484375

Factor a perfect square on the left side:
(a + 1.125)(a + 1.125) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.