4x^4y-8x^3y^2-60x^2y^3=0

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Solution for 4x^4y-8x^3y^2-60x^2y^3=0 equation:


Simplifying
4x4y + -8x3y2 + -60x2y3 = 0

Reorder the terms:
-60x2y3 + -8x3y2 + 4x4y = 0

Solving
-60x2y3 + -8x3y2 + 4x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y'.
4x2y(-15y2 + -2xy + x2) = 0

Factor a trinomial.
4x2y((-3y + -1x)(5y + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-3y + -1x)' equal to zero and attempt to solve: Simplifying -3y + -1x = 0 Reorder the terms: -1x + -3y = 0 Solving -1x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -1x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = 0 + 3y -1x = 0 + 3y Remove the zero: -1x = 3y Divide each side by '-1'. x = -3y Simplifying x = -3y

Subproblem 3

Set the factor '(5y + -1x)' equal to zero and attempt to solve: Simplifying 5y + -1x = 0 Reorder the terms: -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 0 + -5y -1x = 0 + -5y Remove the zero: -1x = -5y Divide each side by '-1'. x = 5y Simplifying x = 5y

Solution

x = {-3y, 5y}

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