(2n+8n^2+1)+(5n^2+5n+6)=

Solution for (2n+8n^2+1)+(5n^2+5n+6)= equation:

Simplifying
(2n + 8n2 + 1) + (5n2 + 5n + 6) = 0

Reorder the terms:
(1 + 2n + 8n2) + (5n2 + 5n + 6) = 0

Remove parenthesis around (1 + 2n + 8n2)
1 + 2n + 8n2 + (5n2 + 5n + 6) = 0

Reorder the terms:
1 + 2n + 8n2 + (6 + 5n + 5n2) = 0

Remove parenthesis around (6 + 5n + 5n2)
1 + 2n + 8n2 + 6 + 5n + 5n2 = 0

Reorder the terms:
1 + 6 + 2n + 5n + 8n2 + 5n2 = 0

Combine like terms: 1 + 6 = 7
7 + 2n + 5n + 8n2 + 5n2 = 0

Combine like terms: 2n + 5n = 7n
7 + 7n + 8n2 + 5n2 = 0

Combine like terms: 8n2 + 5n2 = 13n2
7 + 7n + 13n2 = 0

Solving
7 + 7n + 13n2 = 0

Solving for variable 'n'.

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

Divide each side by '13'.
0.5384615385 + 0.5384615385n + n2 = 0

Move the constant term to the right:

Add '-0.5384615385' to each side of the equation.
0.5384615385 + 0.5384615385n + -0.5384615385 + n2 = 0 + -0.5384615385

Reorder the terms:
0.5384615385 + -0.5384615385 + 0.5384615385n + n2 = 0 + -0.5384615385

Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000
0.0000000000 + 0.5384615385n + n2 = 0 + -0.5384615385
0.5384615385n + n2 = 0 + -0.5384615385

Combine like terms: 0 + -0.5384615385 = -0.5384615385
0.5384615385n + n2 = -0.5384615385

The n term is 0.5384615385n.  Take half its coefficient (0.2692307693).
Square it (0.07248520714) and add it to both sides.

Add '0.07248520714' to each side of the equation.
0.5384615385n + 0.07248520714 + n2 = -0.5384615385 + 0.07248520714

Reorder the terms:
0.07248520714 + 0.5384615385n + n2 = -0.5384615385 + 0.07248520714

Combine like terms: -0.5384615385 + 0.07248520714 = -0.46597633136
0.07248520714 + 0.5384615385n + n2 = -0.46597633136

Factor a perfect square on the left side:
(n + 0.2692307693)(n + 0.2692307693) = -0.46597633136

Can't calculate square root of the right side.

The solution to this equation could not be determined.