5x^2y-25xy^2+15xy=xy

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Solution for 5x^2y-25xy^2+15xy=xy equation:


Simplifying
5x2y + -25xy2 + 15xy = xy

Reorder the terms:
15xy + -25xy2 + 5x2y = xy

Solving
15xy + -25xy2 + 5x2y = xy

Solving for variable 'x'.

Reorder the terms:
15xy + -1xy + -25xy2 + 5x2y = xy + -1xy

Combine like terms: 15xy + -1xy = 14xy
14xy + -25xy2 + 5x2y = xy + -1xy

Combine like terms: xy + -1xy = 0
14xy + -25xy2 + 5x2y = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(14 + -25y + 5x) = 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 '(14 + -25y + 5x)' equal to zero and attempt to solve: Simplifying 14 + -25y + 5x = 0 Reorder the terms: 14 + 5x + -25y = 0 Solving 14 + 5x + -25y = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 5x + -14 + -25y = 0 + -14 Reorder the terms: 14 + -14 + 5x + -25y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5x + -25y = 0 + -14 5x + -25y = 0 + -14 Combine like terms: 0 + -14 = -14 5x + -25y = -14 Add '25y' to each side of the equation. 5x + -25y + 25y = -14 + 25y Combine like terms: -25y + 25y = 0 5x + 0 = -14 + 25y 5x = -14 + 25y Divide each side by '5'. x = -2.8 + 5y Simplifying x = -2.8 + 5y

Solution

x = {-2.8 + 5y}

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