5z^5-84z^3=0

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Solution for 5z^5-84z^3=0 equation: 


Simplifying
5z5 + -84z3 = 0

Reorder the terms:
-84z3 + 5z5 = 0

Solving
-84z3 + 5z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z3'.
z3(-84 + 5z2) = 0


Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve:

Simplifying
z3 = 0

Solving
z3 = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-84 + 5z2)' equal to zero and attempt to solve:

Simplifying
-84 + 5z2 = 0

Solving
-84 + 5z2 = 0

Move all terms containing z to the left, all other terms to the right.

Add '84' to each side of the equation.
-84 + 84 + 5z2 = 0 + 84

Combine like terms: -84 + 84 = 0
0 + 5z2 = 0 + 84
5z2 = 0 + 84

Combine like terms: 0 + 84 = 84
5z2 = 84

Divide each side by '5'.
z2 = 16.8

Simplifying
z2 = 16.8

Take the square root of each side:
z = {-4.098780306, 4.098780306}
Solution
z = {-4.098780306, 4.098780306}

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