5r^3-3r^2=

Solution for 5r^3-3r^2= equation:

Simplifying
5r3 + -3r2 = 0

Reorder the terms:
-3r2 + 5r3 = 0

Solving
-3r2 + 5r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-3 + 5r) = 0

Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

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

Simplifying
r2 = 0

Take the square root of each side:
r = {0}
Subproblem 2
Set the factor '(-3 + 5r)' equal to zero and attempt to solve:

Simplifying
-3 + 5r = 0

Solving
-3 + 5r = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5r = 0 + 3
5r = 0 + 3

Combine like terms: 0 + 3 = 3
5r = 3

Divide each side by '5'.
r = 0.6

Simplifying
r = 0.6
Solution
r = {0, 0.6}