3K+7K+2K^2=

Solution for 3K+7K+2K^2= equation:

Simplifying
3K + 7K + 2K2 = 0

Combine like terms: 3K + 7K = 10K
10K + 2K2 = 0

Solving
10K + 2K2 = 0

Solving for variable 'K'.

Factor out the Greatest Common Factor (GCF), '2K'.
2K(5 + 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 '(5 + K)' equal to zero and attempt to solve:

Simplifying
5 + K = 0

Solving
5 + K = 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 + K = 0 + -5

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

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

Simplifying
K = -5
Solution
K = {0, -5}