14x^2y^3-4xy^2=10xy

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Solution for 14x^2y^3-4xy^2=10xy equation:


Simplifying
14x2y3 + -4xy2 = 10xy

Reorder the terms:
-4xy2 + 14x2y3 = 10xy

Solving
-4xy2 + 14x2y3 = 10xy

Solving for variable 'x'.

Reorder the terms:
-10xy + -4xy2 + 14x2y3 = 10xy + -10xy

Combine like terms: 10xy + -10xy = 0
-10xy + -4xy2 + 14x2y3 = 0

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-5 + -2y + 7xy2) = 0

Ignore the factor 2.

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 + -2y + 7xy2)' equal to zero and attempt to solve: Simplifying -5 + -2y + 7xy2 = 0 Reorder the terms: -5 + 7xy2 + -2y = 0 Solving -5 + 7xy2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 7xy2 + 5 + -2y = 0 + 5 Reorder the terms: -5 + 5 + 7xy2 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7xy2 + -2y = 0 + 5 7xy2 + -2y = 0 + 5 Combine like terms: 0 + 5 = 5 7xy2 + -2y = 5 Add '2y' to each side of the equation. 7xy2 + -2y + 2y = 5 + 2y Combine like terms: -2y + 2y = 0 7xy2 + 0 = 5 + 2y 7xy2 = 5 + 2y Divide each side by '7y2'. x = 0.7142857143y-2 + 0.2857142857y-1 Simplifying x = 0.7142857143y-2 + 0.2857142857y-1

Solution

x = {0.7142857143y-2 + 0.2857142857y-1}

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