(3x^2y)=(2xy)

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Solution for (3x^2y)=(2xy) equation:


Simplifying
(3x2y) = (2xy)

Solving
(3x2y) = (2xy)

Solving for variable 'x'.

Reorder the terms:
(-2xy) + (3x2y) = (2xy) + (-2xy)

Combine like terms: (2xy) + (-2xy) = 0
(-2xy) + (3x2y) = 0

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

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 '(-2 + (3x))' equal to zero and attempt to solve: Simplifying -2 + (3x) = 0 Solving -2 + (3x) = 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 + (3x) = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (3x) = 0 + 2 (3x) = 0 + 2 Combine like terms: 0 + 2 = 2 (3x) = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {0.6666666667}

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