4k+3k(k-6)=2k

Solution for 4k+3k(k-6)=2k equation:

Simplifying
4k + 3k(k + -6) = 2k

Reorder the terms:
4k + 3k(-6 + k) = 2k
4k + (-6 * 3k + k * 3k) = 2k
4k + (-18k + 3k2) = 2k

Combine like terms: 4k + -18k = -14k
-14k + 3k2 = 2k

Solving
-14k + 3k2 = 2k

Solving for variable 'k'.

Reorder the terms:
-14k + -2k + 3k2 = 2k + -2k

Combine like terms: -14k + -2k = -16k
-16k + 3k2 = 2k + -2k

Combine like terms: 2k + -2k = 0
-16k + 3k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-16 + 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 '(-16 + 3k)' equal to zero and attempt to solve:

Simplifying
-16 + 3k = 0

Solving
-16 + 3k = 0

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

Add '16' to each side of the equation.
-16 + 16 + 3k = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3k = 0 + 16
3k = 0 + 16

Combine like terms: 0 + 16 = 16
3k = 16

Divide each side by '3'.
k = 5.333333333

Simplifying
k = 5.333333333
Solution
k = {0, 5.333333333}