z^4+2z=0

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


Simplifying
z4 + 2z = 0

Reorder the terms:
2z + z4 = 0

Solving
2z + z4 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(2 + 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 '(2 + z3)' equal to zero and attempt to solve: Simplifying 2 + z3 = 0 Solving 2 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z3 = 0 + -2 z3 = 0 + -2 Combine like terms: 0 + -2 = -2 z3 = -2 Simplifying z3 = -2 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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