3K^2=-5K

Solution for 3K^2=-5K equation:

Simplifying
3K2 = -5K

Solving
3K2 = -5K

Solving for variable 'K'.

Reorder the terms:
5K + 3K2 = -5K + 5K

Combine like terms: -5K + 5K = 0
5K + 3K2 = 0

Factor out the Greatest Common Factor (GCF), 'K'.
K(5 + 3K) = 0

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 '(5 + 3K)' equal to zero and attempt to solve:

Simplifying
5 + 3K = 0

Solving
5 + 3K = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3K = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3K = 0 + -5
3K = 0 + -5

Combine like terms: 0 + -5 = -5
3K = -5

Divide each side by '3'.
K = -1.666666667

Simplifying
K = -1.666666667
Solution
K = {0, -1.666666667}