k^2+3k=-2

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

Simplifying
k2 + 3k = -2

Reorder the terms:
3k + k2 = -2

Solving
3k + k2 = -2

Solving for variable 'k'.

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

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

Factor a trinomial.
(2 + k)(1 + k) = 0

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

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

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

Simplifying
1 + k = 0

Solving
1 + k = 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 + k = 0 + -1

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

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

Simplifying
k = -1
Solution
k = {-2, -1}