25xy^3-50y^3z-15x^2y^2+30xy^2z=0

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Solution for 25xy^3-50y^3z-15x^2y^2+30xy^2z=0 equation:


Simplifying
25xy3 + -50y3z + -15x2y2 + 30xy2z = 0

Reorder the terms:
30xy2z + 25xy3 + -15x2y2 + -50y3z = 0

Solving
30xy2z + 25xy3 + -15x2y2 + -50y3z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5y2'.
5y2(6xz + 5xy + -3x2 + -10yz) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(6xz + 5xy + -3x2 + -10yz)' equal to zero and attempt to solve: Simplifying 6xz + 5xy + -3x2 + -10yz = 0 Reorder the terms: 5xy + 6xz + -3x2 + -10yz = 0 Solving 5xy + 6xz + -3x2 + -10yz = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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