n^2+2n-4=0

Solution for n^2+2n-4=0 equation:

Simplifying
n2 + 2n + -4 = 0

Reorder the terms:
-4 + 2n + n2 = 0

Solving
-4 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 2n + 4 + n2 = 0 + 4

Reorder the terms:
-4 + 4 + 2n + n2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2n + n2 = 0 + 4
2n + n2 = 0 + 4

Combine like terms: 0 + 4 = 4
2n + n2 = 4

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = 4 + 1

Reorder the terms:
1 + 2n + n2 = 4 + 1

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

Factor a perfect square on the left side:
(n + 1)(n + 1) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(n + 1) equal to 2.236067978 and -2.236067978.

Subproblem 1
n + 1 = 2.236067978

Simplifying
n + 1 = 2.236067978

Reorder the terms:
1 + n = 2.236067978

Solving
1 + n = 2.236067978

Solving for variable 'n'.

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 = 2.236067978 + -1

Combine like terms: 1 + -1 = 0
0 + n = 2.236067978 + -1
n = 2.236067978 + -1

Combine like terms: 2.236067978 + -1 = 1.236067978
n = 1.236067978

Simplifying
n = 1.236067978

Subproblem 2
n + 1 = -2.236067978

Simplifying
n + 1 = -2.236067978

Reorder the terms:
1 + n = -2.236067978

Solving
1 + n = -2.236067978

Solving for variable 'n'.

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 = -2.236067978 + -1

Combine like terms: 1 + -1 = 0
0 + n = -2.236067978 + -1
n = -2.236067978 + -1

Combine like terms: -2.236067978 + -1 = -3.236067978
n = -3.236067978

Simplifying
n = -3.236067978

Solution
The solution to the problem is based on the solutions
from the subproblems.
n = {1.236067978, -3.236067978}