z^4+3z^3+3z^2+9z=0

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Solution for z^4+3z^3+3z^2+9z=0 equation:


Simplifying
z4 + 3z3 + 3z2 + 9z = 0

Reorder the terms:
9z + 3z2 + 3z3 + z4 = 0

Solving
9z + 3z2 + 3z3 + z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(9 + 3z + 3z2 + 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 '(9 + 3z + 3z2 + z3)' equal to zero and attempt to solve: Simplifying 9 + 3z + 3z2 + z3 = 0 Solving 9 + 3z + 3z2 + 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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