n^2+7n+6=6

Solution for n^2+7n+6=6 equation:

Simplifying
n2 + 7n + 6 = 6

Reorder the terms:
6 + 7n + n2 = 6

Add '-6' to each side of the equation.
6 + 7n + -6 + n2 = 6 + -6

Reorder the terms:
6 + -6 + 7n + n2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 7n + n2 = 6 + -6
7n + n2 = 6 + -6

Combine like terms: 6 + -6 = 0
7n + n2 = 0

Solving
7n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(7 + n) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(7 + n)' equal to zero and attempt to solve:

Simplifying
7 + n = 0

Solving
7 + n = 0

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

Add '-7' to each side of the equation.
7 + -7 + n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + n = 0 + -7
n = 0 + -7

Combine like terms: 0 + -7 = -7
n = -7

Simplifying
n = -7
Solution
n = {0, -7}