5k(3-4k)=

Solution for 5k(3-4k)= equation:

Simplifying
5k(3 + -4k) = 0
(3 * 5k + -4k * 5k) = 0
(15k + -20k2) = 0

Solving
15k + -20k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(3 + -4k) = 0

Ignore the factor 5.
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 + -4k)' equal to zero and attempt to solve:

Simplifying
3 + -4k = 0

Solving
3 + -4k = 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 + -4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4k = 0 + -3
-4k = 0 + -3

Combine like terms: 0 + -3 = -3
-4k = -3

Divide each side by '-4'.
k = 0.75

Simplifying
k = 0.75
Solution
k = {0, 0.75}