=3x^2y^3-6xy^2+9xy

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Solution for =3x^2y^3-6xy^2+9xy equation:


Simplifying
0 = 3x2y3 + -6xy2 + 9xy

Reorder the terms:
0 = 9xy + -6xy2 + 3x2y3

Solving
0 = 9xy + -6xy2 + 3x2y3

Solving for variable 'x'.
Remove the zero:
-9xy + 6xy2 + -3x2y3 = 9xy + -6xy2 + 3x2y3 + -9xy + 6xy2 + -3x2y3

Reorder the terms:
-9xy + 6xy2 + -3x2y3 = 9xy + -9xy + -6xy2 + 6xy2 + 3x2y3 + -3x2y3

Combine like terms: 9xy + -9xy = 0
-9xy + 6xy2 + -3x2y3 = 0 + -6xy2 + 6xy2 + 3x2y3 + -3x2y3
-9xy + 6xy2 + -3x2y3 = -6xy2 + 6xy2 + 3x2y3 + -3x2y3

Combine like terms: -6xy2 + 6xy2 = 0
-9xy + 6xy2 + -3x2y3 = 0 + 3x2y3 + -3x2y3
-9xy + 6xy2 + -3x2y3 = 3x2y3 + -3x2y3

Combine like terms: 3x2y3 + -3x2y3 = 0
-9xy + 6xy2 + -3x2y3 = 0

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-3 + 2y + -1xy2) = 0

Ignore the factor 3.

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 '(-3 + 2y + -1xy2)' equal to zero and attempt to solve: Simplifying -3 + 2y + -1xy2 = 0 Reorder the terms: -3 + -1xy2 + 2y = 0 Solving -3 + -1xy2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1xy2 + 3 + 2y = 0 + 3 Reorder the terms: -3 + 3 + -1xy2 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1xy2 + 2y = 0 + 3 -1xy2 + 2y = 0 + 3 Combine like terms: 0 + 3 = 3 -1xy2 + 2y = 3 Add '-2y' to each side of the equation. -1xy2 + 2y + -2y = 3 + -2y Combine like terms: 2y + -2y = 0 -1xy2 + 0 = 3 + -2y -1xy2 = 3 + -2y Divide each side by '-1y2'. x = -3y-2 + 2y-1 Simplifying x = -3y-2 + 2y-1

Solution

x = {-3y-2 + 2y-1}

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