0=k^2+2k-3

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

Simplifying
0 = k2 + 2k + -3

Reorder the terms:
0 = -3 + 2k + k2

Solving
0 = -3 + 2k + k2

Solving for variable 'k'.

Combine like terms: 0 + 3 = 3
3 + -2k + -1k2 = -3 + 2k + k2 + 3 + -2k + -1k2

Reorder the terms:
3 + -2k + -1k2 = -3 + 3 + 2k + -2k + k2 + -1k2

Combine like terms: -3 + 3 = 0
3 + -2k + -1k2 = 0 + 2k + -2k + k2 + -1k2
3 + -2k + -1k2 = 2k + -2k + k2 + -1k2

Combine like terms: 2k + -2k = 0
3 + -2k + -1k2 = 0 + k2 + -1k2
3 + -2k + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
3 + -2k + -1k2 = 0

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

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

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

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

Simplifying
3 + k = 0

Solving
3 + k = 0

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

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

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

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

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