n^2+5n-6=-6

Solution for n^2+5n-6=-6 equation:

Simplifying
n2 + 5n + -6 = -6

Reorder the terms:
-6 + 5n + n2 = -6

Add '6' to each side of the equation.
-6 + 5n + 6 + n2 = -6 + 6

Reorder the terms:
-6 + 6 + 5n + n2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + 5n + n2 = -6 + 6
5n + n2 = -6 + 6

Combine like terms: -6 + 6 = 0
5n + n2 = 0

Solving
5n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(5 + 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 '(5 + n)' equal to zero and attempt to solve:

Simplifying
5 + n = 0

Solving
5 + n = 0

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

Add '-5' to each side of the equation.
5 + -5 + n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + n = 0 + -5
n = 0 + -5

Combine like terms: 0 + -5 = -5
n = -5

Simplifying
n = -5
Solution
n = {0, -5}