24x^3y-44x^2y^2-40xy^3=

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Solution for 24x^3y-44x^2y^2-40xy^3= equation:


Simplifying
24x3y + -44x2y2 + -40xy3 = 0

Reorder the terms:
-40xy3 + -44x2y2 + 24x3y = 0

Solving
-40xy3 + -44x2y2 + 24x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-10y2 + -11xy + 6x2) = 0

Factor a trinomial.
4xy((-2y + -3x)(5y + -2x)) = 0

Ignore the factor 4.

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 '(5y + -2x)' equal to zero and attempt to solve: Simplifying 5y + -2x = 0 Reorder the terms: -2x + 5y = 0 Solving -2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 0 + -5y -2x = 0 + -5y Remove the zero: -2x = -5y Divide each side by '-2'. x = 2.5y Simplifying x = 2.5y

Solution

x = {-0.6666666667y, 2.5y}

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