3xr^3-3x^3r=

Solution for 3xr^3-3x^3r= equation:

Simplifying
3xr3 + -3x3r = 0

Reorder the terms:
-3rx3 + 3r3x = 0

Solving
-3rx3 + 3r3x = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3rx'.
3rx(-1x2 + r2) = 0

Factor a difference between two squares.
3rx((x + r)(-1x + r)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'rx' equal to zero and attempt to solve:

Simplifying
rx = 0

Solving
rx = 0

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

Simplifying
rx = 0

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 '(x + r)' equal to zero and attempt to solve:

Simplifying
x + r = 0

Reorder the terms:
r + x = 0

Solving
r + x = 0

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

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

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

Simplifying
r = -1x
Subproblem 3
Set the factor '(-1x + r)' equal to zero and attempt to solve:

Simplifying
-1x + r = 0

Reorder the terms:
r + -1x = 0

Solving
r + -1x = 0

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

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

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

Simplifying
r = x
Solution
r = {-1x, x}