5z^6+16z^3-16=0

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Solution for 5z^6+16z^3-16=0 equation:


Simplifying
5z6 + 16z3 + -16 = 0

Reorder the terms:
-16 + 16z3 + 5z6 = 0

Solving
-16 + 16z3 + 5z6 = 0

Solving for variable 'z'.

Factor a trinomial.
(-4 + -1z3)(4 + -5z3) = 0

Subproblem 1

Set the factor '(-4 + -1z3)' equal to zero and attempt to solve: Simplifying -4 + -1z3 = 0 Solving -4 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1z3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1z3 = 0 + 4 -1z3 = 0 + 4 Combine like terms: 0 + 4 = 4 -1z3 = 4 Divide each side by '-1'. z3 = -4 Simplifying z3 = -4 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 '(4 + -5z3)' equal to zero and attempt to solve: Simplifying 4 + -5z3 = 0 Solving 4 + -5z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5z3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5z3 = 0 + -4 -5z3 = 0 + -4 Combine like terms: 0 + -4 = -4 -5z3 = -4 Divide each side by '-5'. z3 = 0.8 Simplifying z3 = 0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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