7k(-k+6)=

Solution for 7k(-k+6)= equation:

Simplifying
7k(-1k + 6) = 0

Reorder the terms:
7k(6 + -1k) = 0
(6 * 7k + -1k * 7k) = 0
(42k + -7k2) = 0

Solving
42k + -7k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '7k'.
7k(6 + -1k) = 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 '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 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 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {0, 6}