r^5+2r^3+2r^2=0

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Solution for r^5+2r^3+2r^2=0 equation: 


Simplifying
r5 + 2r3 + 2r2 = 0

Reorder the terms:
2r2 + 2r3 + r5 = 0

Solving
2r2 + 2r3 + r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(2 + 2r + r3) = 0


Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

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

Simplifying
r2 = 0

Take the square root of each side:
r = {0}

Subproblem 2
Set the factor '(2 + 2r + r3)' equal to zero and attempt to solve:

Simplifying
2 + 2r + r3 = 0

Solving
2 + 2r + 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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