5z^2+6z^5-10z^3=3z^4

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Solution for 5z^2+6z^5-10z^3=3z^4 equation: 


Simplifying
5z2 + 6z5 + -10z3 = 3z4

Reorder the terms:
5z2 + -10z3 + 6z5 = 3z4

Solving
5z2 + -10z3 + 6z5 = 3z4

Solving for variable 'z'.

Reorder the terms:
5z2 + -10z3 + -3z4 + 6z5 = 3z4 + -3z4

Combine like terms: 3z4 + -3z4 = 0
5z2 + -10z3 + -3z4 + 6z5 = 0

Factor out the Greatest Common Factor (GCF), 'z2'.
z2(5 + -10z + -3z2 + 6z3) = 0


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 '(5 + -10z + -3z2 + 6z3)' equal to zero and attempt to solve:

Simplifying
5 + -10z + -3z2 + 6z3 = 0

Solving
5 + -10z + -3z2 + 6z3 = 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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