n^2+4n+10=6

Solution for n^2+4n+10=6 equation:

Simplifying
n2 + 4n + 10 = 6

Reorder the terms:
10 + 4n + n2 = 6

Solving
10 + 4n + n2 = 6

Solving for variable 'n'.

Reorder the terms:
10 + -6 + 4n + n2 = 6 + -6

Combine like terms: 10 + -6 = 4
4 + 4n + n2 = 6 + -6

Combine like terms: 6 + -6 = 0
4 + 4n + n2 = 0

Factor a trinomial.
(2 + n)(2 + n) = 0

Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

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

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

Simplifying
n = -2
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

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

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

Simplifying
n = -2
Solution
n = {-2, -2}