r^4=3r^3+18r

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Solution for r^4=3r^3+18r equation: 


Simplifying
r4 = 3r3 + 18r

Reorder the terms:
r4 = 18r + 3r3

Solving
r4 = 18r + 3r3

Solving for variable 'r'.

Reorder the terms:
-18r + -3r3 + r4 = 18r + 3r3 + -18r + -3r3

Reorder the terms:
-18r + -3r3 + r4 = 18r + -18r + 3r3 + -3r3

Combine like terms: 18r + -18r = 0
-18r + -3r3 + r4 = 0 + 3r3 + -3r3
-18r + -3r3 + r4 = 3r3 + -3r3

Combine like terms: 3r3 + -3r3 = 0
-18r + -3r3 + r4 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-18 + -3r2 + r3) = 0


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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(-18 + -3r2 + r3)' equal to zero and attempt to solve:

Simplifying
-18 + -3r2 + r3 = 0

Solving
-18 + -3r2 + r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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