8x^2y-4xy^2+5xy=0

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Solution for 8x^2y-4xy^2+5xy=0 equation:


Simplifying
8x2y + -4xy2 + 5xy = 0

Reorder the terms:
5xy + -4xy2 + 8x2y = 0

Solving
5xy + -4xy2 + 8x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(5 + -4y + 8x) = 0

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 '(5 + -4y + 8x)' equal to zero and attempt to solve: Simplifying 5 + -4y + 8x = 0 Reorder the terms: 5 + 8x + -4y = 0 Solving 5 + 8x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8x + -5 + -4y = 0 + -5 Reorder the terms: 5 + -5 + 8x + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x + -4y = 0 + -5 8x + -4y = 0 + -5 Combine like terms: 0 + -5 = -5 8x + -4y = -5 Add '4y' to each side of the equation. 8x + -4y + 4y = -5 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = -5 + 4y 8x = -5 + 4y Divide each side by '8'. x = -0.625 + 0.5y Simplifying x = -0.625 + 0.5y

Solution

x = {-0.625 + 0.5y}

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