N^2+6N+10=2

Solution for N^2+6N+10=2 equation:

Simplifying
N2 + 6N + 10 = 2

Reorder the terms:
10 + 6N + N2 = 2

Solving
10 + 6N + N2 = 2

Solving for variable 'N'.

Reorder the terms:
10 + -2 + 6N + N2 = 2 + -2

Combine like terms: 10 + -2 = 8
8 + 6N + N2 = 2 + -2

Combine like terms: 2 + -2 = 0
8 + 6N + N2 = 0

Factor a trinomial.
(4 + N)(2 + N) = 0

Subproblem 1
Set the factor '(4 + N)' equal to zero and attempt to solve:

Simplifying
4 + N = 0

Solving
4 + N = 0

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

Add '-4' to each side of the equation.
4 + -4 + N = 0 + -4

Combine like terms: 4 + -4 = 0
0 + N = 0 + -4
N = 0 + -4

Combine like terms: 0 + -4 = -4
N = -4

Simplifying
N = -4
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 = {-4, -2}