2h^2r-hr^2-3r^3=

Solution for 2h^2r-hr^2-3r^3= equation:

Simplifying
2h2r + -1hr2 + -3r3 = 0

Reorder the terms:
-1hr2 + 2h2r + -3r3 = 0

Solving
-1hr2 + 2h2r + -3r3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-1hr + 2h2 + -3r2) = 0

Factor a trinomial.
r((2h + -3r)(h + r)) = 0

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

Simplifying
r = 0

Solving
r = 0

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

Add '-1r' to each side of the equation.
r + -1r = 0 + -1r
Remove the zero:
0 = -1r

Simplifying
0 = -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2h + -3r)' equal to zero and attempt to solve:

Simplifying
2h + -3r = 0

Solving
2h + -3r = 0

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

Add '3r' to each side of the equation.
2h + -3r + 3r = 0 + 3r

Combine like terms: -3r + 3r = 0
2h + 0 = 0 + 3r
2h = 0 + 3r
Remove the zero:
2h = 3r

Divide each side by '2'.
h = 1.5r

Simplifying
h = 1.5r
Subproblem 3
Set the factor '(h + r)' equal to zero and attempt to solve:

Simplifying
h + r = 0

Solving
h + r = 0

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

Add '-1r' to each side of the equation.
h + r + -1r = 0 + -1r

Combine like terms: r + -1r = 0
h + 0 = 0 + -1r
h = 0 + -1r
Remove the zero:
h = -1r

Simplifying
h = -1r
Solution
h = {1.5r, -1r}