z^4+4z^3+8z^2+8z=0

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


Simplifying
z4 + 4z3 + 8z2 + 8z = 0

Reorder the terms:
8z + 8z2 + 4z3 + z4 = 0

Solving
8z + 8z2 + 4z3 + z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(8 + 8z + 4z2 + z3) = 0


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 '(8 + 8z + 4z2 + z3)' equal to zero and attempt to solve:

Simplifying
8 + 8z + 4z2 + z3 = 0

Solving
8 + 8z + 4z2 + z3 = 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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