z^7Y^3=zy^4

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Solution for z^7Y^3=zy^4 equation: 


Simplifying
z7Y3 = zy4

Solving
z7Y3 = y4z

Solving for variable 'z'.

Reorder the terms:
-1y4z + z7Y3 = y4z + -1y4z

Combine like terms: y4z + -1y4z = 0
-1y4z + z7Y3 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-1y4 + z6Y3) = 0


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 '(-1y4 + z6Y3)' equal to zero and attempt to solve:

Simplifying
-1y4 + z6Y3 = 0

Solving
-1y4 + z6Y3 = 0

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

Add 'y4' to each side of the equation.
-1y4 + y4 + z6Y3 = 0 + y4

Combine like terms: -1y4 + y4 = 0
0 + z6Y3 = 0 + y4
z6Y3 = 0 + y4
Remove the zero:
z6Y3 = y4

Divide each side by 'Y3'.
z6 = y4Y-3

Simplifying
z6 = y4Y-3

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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