8r^3s-18rs^3=

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Solution for 8r^3s-18rs^3= equation: 


Simplifying
8r3s + -18rs3 = 0

Reorder the terms:
-18rs3 + 8r3s = 0

Solving
-18rs3 + 8r3s = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2rs'.
2rs(-9s2 + 4r2) = 0

Factor a difference between two squares.
2rs((3s + 2r)(-3s + 2r)) = 0

Ignore the factor 2.

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

Simplifying
rs = 0

Solving
rs = 0

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

Simplifying
rs = 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 '(3s + 2r)' equal to zero and attempt to solve:

Simplifying
3s + 2r = 0

Reorder the terms:
2r + 3s = 0

Solving
2r + 3s = 0

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

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

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

Divide each side by '2'.
r = -1.5s

Simplifying
r = -1.5s

Subproblem 3
Set the factor '(-3s + 2r)' equal to zero and attempt to solve:

Simplifying
-3s + 2r = 0

Reorder the terms:
2r + -3s = 0

Solving
2r + -3s = 0

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

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

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

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

Simplifying
r = 1.5s
Solution
r = {-1.5s, 1.5s}

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