5k(3k-10)=

Solution for 5k(3k-10)= equation:

Simplifying
5k(3k + -10) = 0

Reorder the terms:
5k(-10 + 3k) = 0
(-10 * 5k + 3k * 5k) = 0
(-50k + 15k2) = 0

Solving
-50k + 15k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k'.
5k(-10 + 3k) = 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 '(-10 + 3k)' equal to zero and attempt to solve:

Simplifying
-10 + 3k = 0

Solving
-10 + 3k = 0

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

Add '10' to each side of the equation.
-10 + 10 + 3k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3k = 0 + 10
3k = 0 + 10

Combine like terms: 0 + 10 = 10
3k = 10

Divide each side by '3'.
k = 3.333333333

Simplifying
k = 3.333333333
Solution
k = {0, 3.333333333}