6z^6-3z^5+21z^2=0

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Solution for 6z^6-3z^5+21z^2=0 equation: 


Simplifying
6z6 + -3z5 + 21z2 = 0

Reorder the terms:
21z2 + -3z5 + 6z6 = 0

Solving
21z2 + -3z5 + 6z6 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z2'.
3z2(7 + -1z3 + 2z4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve:

Simplifying
z2 = 0

Solving
z2 = 0

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

Simplifying
z2 = 0

Take the square root of each side:
z = {0}

Subproblem 2
Set the factor '(7 + -1z3 + 2z4)' equal to zero and attempt to solve:

Simplifying
7 + -1z3 + 2z4 = 0

Solving
7 + -1z3 + 2z4 = 0

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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