(4n^2+1)+(5-n^2)=

Solution for (4n^2+1)+(5-n^2)= equation:

Simplifying
(4n2 + 1) + (5 + -1n2) = 0

Reorder the terms:
(1 + 4n2) + (5 + -1n2) = 0

Remove parenthesis around (1 + 4n2)
1 + 4n2 + (5 + -1n2) = 0

Remove parenthesis around (5 + -1n2)
1 + 4n2 + 5 + -1n2 = 0

Reorder the terms:
1 + 5 + 4n2 + -1n2 = 0

Combine like terms: 1 + 5 = 6
6 + 4n2 + -1n2 = 0

Combine like terms: 4n2 + -1n2 = 3n2
6 + 3n2 = 0

Solving
6 + 3n2 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 3n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3n2 = 0 + -6
3n2 = 0 + -6

Combine like terms: 0 + -6 = -6
3n2 = -6

Divide each side by '3'.
n2 = -2

Simplifying
n2 = -2

Reorder the terms:
2 + n2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + n2 = 0

The solution to this equation could not be determined.