22k=-10k^2-12

Solution for 22k=-10k^2-12 equation:

Simplifying
22k = -10k2 + -12

Reorder the terms:
22k = -12 + -10k2

Solving
22k = -12 + -10k2

Solving for variable 'k'.

Reorder the terms:
12 + 22k + 10k2 = -12 + -10k2 + 12 + 10k2

Reorder the terms:
12 + 22k + 10k2 = -12 + 12 + -10k2 + 10k2

Combine like terms: -12 + 12 = 0
12 + 22k + 10k2 = 0 + -10k2 + 10k2
12 + 22k + 10k2 = -10k2 + 10k2

Combine like terms: -10k2 + 10k2 = 0
12 + 22k + 10k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 11k + 5k2) = 0

Factor a trinomial.
2((6 + 5k)(1 + k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 5k)' equal to zero and attempt to solve:

Simplifying
6 + 5k = 0

Solving
6 + 5k = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5k = 0 + -6
5k = 0 + -6

Combine like terms: 0 + -6 = -6
5k = -6

Divide each side by '5'.
k = -1.2

Simplifying
k = -1.2
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 = {-1.2, -1}