5x^2y+4xy^2-6xy^2+6xy=

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Solution for 5x^2y+4xy^2-6xy^2+6xy= equation:


Simplifying
5x2y + 4xy2 + -6xy2 + 6xy = 0

Reorder the terms:
6xy + 4xy2 + -6xy2 + 5x2y = 0

Combine like terms: 4xy2 + -6xy2 = -2xy2
6xy + -2xy2 + 5x2y = 0

Solving
6xy + -2xy2 + 5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(6 + -2y + 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 '(6 + -2y + 5x)' equal to zero and attempt to solve: Simplifying 6 + -2y + 5x = 0 Reorder the terms: 6 + 5x + -2y = 0 Solving 6 + 5x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5x + -6 + -2y = 0 + -6 Reorder the terms: 6 + -6 + 5x + -2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x + -2y = 0 + -6 5x + -2y = 0 + -6 Combine like terms: 0 + -6 = -6 5x + -2y = -6 Add '2y' to each side of the equation. 5x + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 5x + 0 = -6 + 2y 5x = -6 + 2y Divide each side by '5'. x = -1.2 + 0.4y Simplifying x = -1.2 + 0.4y

Solution

x = {-1.2 + 0.4y}

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