w^7z^2-w^5z^4=0

Solution for w^7z^2-w^5z^4=0 equation:

Simplifying
w7z2 + -1w5z4 = 0

Reorder the terms:
-1w5z4 + w7z2 = 0

Solving
-1w5z4 + w7z2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w5z2'.
w5z2(-1z2 + w2) = 0

Factor a difference between two squares.
w5z2((z + w)(-1z + w)) = 0

Subproblem 1
Set the factor 'w5z2' equal to zero and attempt to solve:

Simplifying
w5z2 = 0

Solving
w5z2 = 0

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

Simplifying
w5z2 = 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 '(z + w)' equal to zero and attempt to solve:

Simplifying
z + w = 0

Reorder the terms:
w + z = 0

Solving
w + z = 0

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

Add '-1z' to each side of the equation.
w + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
w + 0 = 0 + -1z
w = 0 + -1z
Remove the zero:
w = -1z

Simplifying
w = -1z
Subproblem 3
Set the factor '(-1z + w)' equal to zero and attempt to solve:

Simplifying
-1z + w = 0

Reorder the terms:
w + -1z = 0

Solving
w + -1z = 0

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

Add 'z' to each side of the equation.
w + -1z + z = 0 + z

Combine like terms: -1z + z = 0
w + 0 = 0 + z
w = 0 + z
Remove the zero:
w = z

Simplifying
w = z
Solution
w = {-1z, z}