4(2k-5k^2)=

Solution for 4(2k-5k^2)= equation:

Simplifying
4(2k + -5k2) = 0
(2k * 4 + -5k2 * 4) = 0
(8k + -20k2) = 0

Solving
8k + -20k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4k'.
4k(2 + -5k) = 0

Ignore the factor 4.
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 '(2 + -5k)' equal to zero and attempt to solve:

Simplifying
2 + -5k = 0

Solving
2 + -5k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4
Solution
k = {0, 0.4}