k=-2k^2-k

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

Simplifying
k = -2k2 + -1k

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

Solving
k = -1k + -2k2

Solving for variable 'k'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2k'.
2k(1 + k) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
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 = {0, -1}