4z^4=-864z

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Solution for 4z^4=-864z equation:


Simplifying
4z4 = -864z

Solving
4z4 = -864z

Solving for variable 'z'.

Reorder the terms:
864z + 4z4 = -864z + 864z

Combine like terms: -864z + 864z = 0
864z + 4z4 = 0

Factor out the Greatest Common Factor (GCF), '4z'.
4z(216 + z3) = 0

Ignore the factor 4.

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 '(216 + z3)' equal to zero and attempt to solve: Simplifying 216 + z3 = 0 Solving 216 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + z3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + z3 = 0 + -216 z3 = 0 + -216 Combine like terms: 0 + -216 = -216 z3 = -216 Simplifying z3 = -216 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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