2z^5-6z^4+4z^3+4z^2-8z=0

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Solution for 2z^5-6z^4+4z^3+4z^2-8z=0 equation: 


Simplifying
2z5 + -6z4 + 4z3 + 4z2 + -8z = 0

Reorder the terms:
-8z + 4z2 + 4z3 + -6z4 + 2z5 = 0

Solving
-8z + 4z2 + 4z3 + -6z4 + 2z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(-4 + 2z + 2z2 + -3z3 + z4) = 0

Ignore the factor 2.

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

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(-4 + 2z + 2z2 + -3z3 + z4)' equal to zero and attempt to solve:

Simplifying
-4 + 2z + 2z2 + -3z3 + z4 = 0

Solving
-4 + 2z + 2z2 + -3z3 + z4 = 0

The solution to this equation could not be determined.

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

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