-n^2-28n-27=

Solution for -n^2-28n-27= equation:

Simplifying
-1n2 + -28n + -27 = 0

Reorder the terms:
-27 + -28n + -1n2 = 0

Solving
-27 + -28n + -1n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(27 + 28n + n2) = 0

Factor a trinomial.
-1((27 + n)(1 + n)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(27 + n)' equal to zero and attempt to solve:

Simplifying
27 + n = 0

Solving
27 + n = 0

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

Add '-27' to each side of the equation.
27 + -27 + n = 0 + -27

Combine like terms: 27 + -27 = 0
0 + n = 0 + -27
n = 0 + -27

Combine like terms: 0 + -27 = -27
n = -27

Simplifying
n = -27
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

Add '-1' to each side of the equation.
1 + -1 + n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n = 0 + -1
n = 0 + -1

Combine like terms: 0 + -1 = -1
n = -1

Simplifying
n = -1
Solution
n = {-27, -1}