5k^2-35k^3=

Solution for 5k^2-35k^3= equation:

Simplifying
5k2 + -35k3 = 0

Solving
5k2 + -35k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k2'.
5k2(1 + -7k) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}
Subproblem 2
Set the factor '(1 + -7k)' equal to zero and attempt to solve:

Simplifying
1 + -7k = 0

Solving
1 + -7k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7k = 0 + -1
-7k = 0 + -1

Combine like terms: 0 + -1 = -1
-7k = -1

Divide each side by '-7'.
k = 0.1428571429

Simplifying
k = 0.1428571429
Solution
k = {0, 0.1428571429}