r^6+3r^5+3r^4+r^3=0

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Solution for r^6+3r^5+3r^4+r^3=0 equation: 


Simplifying
r6 + 3r5 + 3r4 + r3 = 0

Reorder the terms:
r3 + 3r4 + 3r5 + r6 = 0

Solving
r3 + 3r4 + 3r5 + r6 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r3'.
r3(1 + 3r + 3r2 + r3) = 0


Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve:

Simplifying
r3 = 0

Solving
r3 = 0

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

Simplifying
r3 = 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 '(1 + 3r + 3r2 + r3)' equal to zero and attempt to solve:

Simplifying
1 + 3r + 3r2 + r3 = 0

Solving
1 + 3r + 3r2 + r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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