-n^2-34n-33=

Solution for -n^2-34n-33= equation:

Simplifying
-1n2 + -34n + -33 = 0

Reorder the terms:
-33 + -34n + -1n2 = 0

Solving
-33 + -34n + -1n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(33 + 34n + n2) = 0

Factor a trinomial.
-1((33 + n)(1 + n)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(33 + n)' equal to zero and attempt to solve:

Simplifying
33 + n = 0

Solving
33 + n = 0

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

Add '-33' to each side of the equation.
33 + -33 + n = 0 + -33

Combine like terms: 33 + -33 = 0
0 + n = 0 + -33
n = 0 + -33

Combine like terms: 0 + -33 = -33
n = -33

Simplifying
n = -33
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 = {-33, -1}