0=n^2+2n-3

Solution for 0=n^2+2n-3 equation:

Simplifying
0 = n2 + 2n + -3

Reorder the terms:
0 = -3 + 2n + n2

Solving
0 = -3 + 2n + n2

Solving for variable 'n'.

Combine like terms: 0 + 3 = 3
3 + -2n + -1n2 = -3 + 2n + n2 + 3 + -2n + -1n2

Reorder the terms:
3 + -2n + -1n2 = -3 + 3 + 2n + -2n + n2 + -1n2

Combine like terms: -3 + 3 = 0
3 + -2n + -1n2 = 0 + 2n + -2n + n2 + -1n2
3 + -2n + -1n2 = 2n + -2n + n2 + -1n2

Combine like terms: 2n + -2n = 0
3 + -2n + -1n2 = 0 + n2 + -1n2
3 + -2n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
3 + -2n + -1n2 = 0

Factor a trinomial.
(1 + -1n)(3 + n) = 0

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve:

Simplifying
3 + n = 0

Solving
3 + n = 0

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

Add '-3' to each side of the equation.
3 + -3 + n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + n = 0 + -3
n = 0 + -3

Combine like terms: 0 + -3 = -3
n = -3

Simplifying
n = -3
Solution
n = {1, -3}