5xy^2-3x^2y+4xy+6xy^2=

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Solution for 5xy^2-3x^2y+4xy+6xy^2= equation:


Simplifying
5xy2 + -3x2y + 4xy + 6xy2 = 0

Reorder the terms:
4xy + 5xy2 + 6xy2 + -3x2y = 0

Combine like terms: 5xy2 + 6xy2 = 11xy2
4xy + 11xy2 + -3x2y = 0

Solving
4xy + 11xy2 + -3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(4 + 11y + -3x) = 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 '(4 + 11y + -3x)' equal to zero and attempt to solve: Simplifying 4 + 11y + -3x = 0 Reorder the terms: 4 + -3x + 11y = 0 Solving 4 + -3x + 11y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3x + -4 + 11y = 0 + -4 Reorder the terms: 4 + -4 + -3x + 11y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + 11y = 0 + -4 -3x + 11y = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + 11y = -4 Add '-11y' to each side of the equation. -3x + 11y + -11y = -4 + -11y Combine like terms: 11y + -11y = 0 -3x + 0 = -4 + -11y -3x = -4 + -11y Divide each side by '-3'. x = 1.333333333 + 3.666666667y Simplifying x = 1.333333333 + 3.666666667y

Solution

x = {1.333333333 + 3.666666667y}

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