4z^5-10z=0

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Solution for 4z^5-10z=0 equation:


Simplifying
4z5 + -10z = 0

Reorder the terms:
-10z + 4z5 = 0

Solving
-10z + 4z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(-5 + 2z4) = 0

Ignore the factor 2.

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 '(-5 + 2z4)' equal to zero and attempt to solve: Simplifying -5 + 2z4 = 0 Solving -5 + 2z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2z4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2z4 = 0 + 5 2z4 = 0 + 5 Combine like terms: 0 + 5 = 5 2z4 = 5 Divide each side by '2'. z4 = 2.5 Simplifying z4 = 2.5 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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