48x^3y^2=32x^2y

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Solution for 48x^3y^2=32x^2y equation:


Simplifying
48x3y2 = 32x2y

Solving
48x3y2 = 32x2y

Solving for variable 'x'.

Reorder the terms:
-32x2y + 48x3y2 = 32x2y + -32x2y

Combine like terms: 32x2y + -32x2y = 0
-32x2y + 48x3y2 = 0

Factor out the Greatest Common Factor (GCF), '16x2y'.
16x2y(-2 + 3xy) = 0

Ignore the factor 16.

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 '(-2 + 3xy)' equal to zero and attempt to solve: Simplifying -2 + 3xy = 0 Solving -2 + 3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3xy = 0 + 2 3xy = 0 + 2 Combine like terms: 0 + 2 = 2 3xy = 2 Divide each side by '3y'. x = 0.6666666667y-1 Simplifying x = 0.6666666667y-1

Solution

x = {0.6666666667y-1}

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