9z^4=-576z

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Solution for 9z^4=-576z equation:


Simplifying
9z4 = -576z

Solving
9z4 = -576z

Solving for variable 'z'.

Reorder the terms:
576z + 9z4 = -576z + 576z

Combine like terms: -576z + 576z = 0
576z + 9z4 = 0

Factor out the Greatest Common Factor (GCF), '9z'.
9z(64 + z3) = 0

Ignore the factor 9.

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 '(64 + z3)' equal to zero and attempt to solve: Simplifying 64 + z3 = 0 Solving 64 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + z3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + z3 = 0 + -64 z3 = 0 + -64 Combine like terms: 0 + -64 = -64 z3 = -64 Simplifying z3 = -64 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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