n^2+2n-4=-5

Solution for n^2+2n-4=-5 equation:

Simplifying
n2 + 2n + -4 = -5

Reorder the terms:
-4 + 2n + n2 = -5

Solving
-4 + 2n + n2 = -5

Solving for variable 'n'.

Reorder the terms:
-4 + 5 + 2n + n2 = -5 + 5

Combine like terms: -4 + 5 = 1
1 + 2n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
1 + 2n + n2 = 0

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

Subproblem 1
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
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 = {-1, -1}