7k(3+2k)=

Solution for 7k(3+2k)= equation:

Simplifying
7k(3 + 2k) = 0
(3 * 7k + 2k * 7k) = 0
(21k + 14k2) = 0

Solving
21k + 14k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '7k'.
7k(3 + 2k) = 0

Ignore the factor 7.
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 '(3 + 2k)' equal to zero and attempt to solve:

Simplifying
3 + 2k = 0

Solving
3 + 2k = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2k = 0 + -3

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

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

Divide each side by '2'.
k = -1.5

Simplifying
k = -1.5
Solution
k = {0, -1.5}