16x^3y-24x^2y^2=0

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Solution for 16x^3y-24x^2y^2=0 equation:


Simplifying
16x3y + -24x2y2 = 0

Reorder the terms:
-24x2y2 + 16x3y = 0

Solving
-24x2y2 + 16x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2y'.
8x2y(-3y + 2x) = 0

Ignore the factor 8.

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 + 2x)' equal to zero and attempt to solve: Simplifying -3y + 2x = 0 Reorder the terms: 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5y

Solution

x = {1.5y}

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