k(4k-5)=0

Solution for k(4k-5)=0 equation:

Simplifying
k(4k + -5) = 0

Reorder the terms:
k(-5 + 4k) = 0
(-5 * k + 4k * k) = 0
(-5k + 4k2) = 0

Solving
-5k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-5 + 4k) = 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 '(-5 + 4k)' equal to zero and attempt to solve:

Simplifying
-5 + 4k = 0

Solving
-5 + 4k = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4k = 0 + 5
4k = 0 + 5

Combine like terms: 0 + 5 = 5
4k = 5

Divide each side by '4'.
k = 1.25

Simplifying
k = 1.25
Solution
k = {0, 1.25}