9x^3y-12x^2y^2+4xy^3=

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Solution for 9x^3y-12x^2y^2+4xy^3= equation:


Simplifying
9x3y + -12x2y2 + 4xy3 = 0

Reorder the terms:
4xy3 + -12x2y2 + 9x3y = 0

Solving
4xy3 + -12x2y2 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(4y2 + -12xy + 9x2) = 0

Factor a trinomial.
xy((2y + -3x)(2y + -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 '(2y + -3x)' equal to zero and attempt to solve: Simplifying 2y + -3x = 0 Reorder the terms: -3x + 2y = 0 Solving -3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 0 + -2y -3x = 0 + -2y Remove the zero: -3x = -2y Divide each side by '-3'. x = 0.6666666667y Simplifying x = 0.6666666667y

Subproblem 3

Set the factor '(2y + -3x)' equal to zero and attempt to solve: Simplifying 2y + -3x = 0 Reorder the terms: -3x + 2y = 0 Solving -3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 0 + -2y -3x = 0 + -2y Remove the zero: -3x = -2y Divide each side by '-3'. x = 0.6666666667y Simplifying x = 0.6666666667y

Solution

x = {0.6666666667y, 0.6666666667y}

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