4x^2y+20xy^2-8xy=0

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Solution for 4x^2y+20xy^2-8xy=0 equation:


Simplifying
4x2y + 20xy2 + -8xy = 0

Reorder the terms:
-8xy + 20xy2 + 4x2y = 0

Solving
-8xy + 20xy2 + 4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-2 + 5y + x) = 0

Ignore the factor 4.

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 '(-2 + 5y + x)' equal to zero and attempt to solve: Simplifying -2 + 5y + x = 0 Reorder the terms: -2 + x + 5y = 0 Solving -2 + x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x + 2 + 5y = 0 + 2 Reorder the terms: -2 + 2 + x + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x + 5y = 0 + 2 x + 5y = 0 + 2 Combine like terms: 0 + 2 = 2 x + 5y = 2 Add '-5y' to each side of the equation. x + 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 2 + -5y x = 2 + -5y Simplifying x = 2 + -5y

Solution

x = {2 + -5y}

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