(3n^2+2n-8)+(2n^2+n+9)=

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Solution for (3n^2+2n-8)+(2n^2+n+9)= equation: 


Simplifying
(3n2 + 2n + -8) + (2n2 + n + 9) = 0

Reorder the terms:
(-8 + 2n + 3n2) + (2n2 + n + 9) = 0

Remove parenthesis around (-8 + 2n + 3n2)
-8 + 2n + 3n2 + (2n2 + n + 9) = 0

Reorder the terms:
-8 + 2n + 3n2 + (9 + n + 2n2) = 0

Remove parenthesis around (9 + n + 2n2)
-8 + 2n + 3n2 + 9 + n + 2n2 = 0

Reorder the terms:
-8 + 9 + 2n + n + 3n2 + 2n2 = 0

Combine like terms: -8 + 9 = 1
1 + 2n + n + 3n2 + 2n2 = 0

Combine like terms: 2n + n = 3n
1 + 3n + 3n2 + 2n2 = 0

Combine like terms: 3n2 + 2n2 = 5n2
1 + 3n + 5n2 = 0

Solving
1 + 3n + 5n2 = 0

Solving for variable 'n'.

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

Divide each side by '5'.
0.2 + 0.6n + n2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.6n + -0.2 + n2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.6n + n2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.6n + n2 = 0 + -0.2
0.6n + n2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.6n + n2 = -0.2

The n term is 0.6n.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6n + 0.09 + n2 = -0.2 + 0.09

Reorder the terms:
0.09 + 0.6n + n2 = -0.2 + 0.09

Combine like terms: -0.2 + 0.09 = -0.11
0.09 + 0.6n + n2 = -0.11

Factor a perfect square on the left side:
(n + 0.3)(n + 0.3) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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