50xy+150y^3x-200zyx^2=

Solution for 50xy+150y^3x-200zyx^2= equation:

Simplifying
50xy + 150y3x + -200zyx2 = 0

Solving
50xy + 150xy3 + -200x2yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '50xy'.
50xy(1 + 3y2 + -4xz) = 0

Ignore the factor 50.
Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(1 + 3y2 + -4xz)' equal to zero and attempt to solve:

Simplifying
1 + 3y2 + -4xz = 0

Reorder the terms:
1 + -4xz + 3y2 = 0

Solving
1 + -4xz + 3y2 = 0

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

Add '-1' to each side of the equation.
1 + -4xz + -1 + 3y2 = 0 + -1

Reorder the terms:
1 + -1 + -4xz + 3y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4xz + 3y2 = 0 + -1
-4xz + 3y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4xz + 3y2 = -1

Add '-3y2' to each side of the equation.
-4xz + 3y2 + -3y2 = -1 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-4xz + 0 = -1 + -3y2
-4xz = -1 + -3y2

Divide each side by '-4z'.
x = 0.25z-1 + 0.75y2z-1

Simplifying
x = 0.25z-1 + 0.75y2z-1

Reorder the terms:
x = 0.75y2z-1 + 0.25z-1
Solution
x = {0.75y2z-1 + 0.25z-1}