125x^3y^5z^4-5xy^3z^6=

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Solution for 125x^3y^5z^4-5xy^3z^6= equation: 


Simplifying
125x3y5z4 + -5xy3z6 = 0

Reorder the terms:
-5xy3z6 + 125x3y5z4 = 0

Solving
-5xy3z6 + 125x3y5z4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy3z4'.
5xy3z4(-1z2 + 25x2y2) = 0

Factor a difference between two squares.
5xy3z4((z + 5xy)(-1z + 5xy)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'xy3z4' equal to zero and attempt to solve:

Simplifying
xy3z4 = 0

Solving
xy3z4 = 0

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

Simplifying
xy3z4 = 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 + 5xy)' equal to zero and attempt to solve:

Simplifying
z + 5xy = 0

Reorder the terms:
5xy + z = 0

Solving
5xy + z = 0

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

Add '-1z' to each side of the equation.
5xy + z + -1z = 0 + -1z

Combine like terms: z + -1z = 0
5xy + 0 = 0 + -1z
5xy = 0 + -1z
Remove the zero:
5xy = -1z

Divide each side by '5y'.
x = -0.2y-1z

Simplifying
x = -0.2y-1z

Subproblem 3
Set the factor '(-1z + 5xy)' equal to zero and attempt to solve:

Simplifying
-1z + 5xy = 0

Reorder the terms:
5xy + -1z = 0

Solving
5xy + -1z = 0

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

Add 'z' to each side of the equation.
5xy + -1z + z = 0 + z

Combine like terms: -1z + z = 0
5xy + 0 = 0 + z
5xy = 0 + z
Remove the zero:
5xy = z

Divide each side by '5y'.
x = 0.2y-1z

Simplifying
x = 0.2y-1z
Solution
x = {-0.2y-1z, 0.2y-1z}

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