24x^7y^1-96x^3y^3=

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Solution for 24x^7y^1-96x^3y^3= equation:


Simplifying
24x7y + -96x3y3 = 0

Reorder the terms:
-96x3y3 + 24x7y = 0

Solving
-96x3y3 + 24x7y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x3y'.
24x3y(-4y2 + x4) = 0

Factor a difference between two squares.
24x3y((2y + x2)(-2y + x2)) = 0

Ignore the factor 24.

Subproblem 1

Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 + x2)' equal to zero and attempt to solve: Simplifying 2y + x2 = 0 Reorder the terms: x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-2y + x2)' equal to zero and attempt to solve: Simplifying -2y + x2 = 0 Reorder the terms: x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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