12x^2y-24xy^2-6xy=

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Solution for 12x^2y-24xy^2-6xy= equation:


Simplifying
12x2y + -24xy2 + -6xy = 0

Reorder the terms:
-6xy + -24xy2 + 12x2y = 0

Solving
-6xy + -24xy2 + 12x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6xy'.
6xy(-1 + -4y + 2x) = 0

Ignore the factor 6.

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 '(-1 + -4y + 2x)' equal to zero and attempt to solve: Simplifying -1 + -4y + 2x = 0 Reorder the terms: -1 + 2x + -4y = 0 Solving -1 + 2x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + -4y = 0 + 1 Reorder the terms: -1 + 1 + 2x + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + -4y = 0 + 1 2x + -4y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + -4y = 1 Add '4y' to each side of the equation. 2x + -4y + 4y = 1 + 4y Combine like terms: -4y + 4y = 0 2x + 0 = 1 + 4y 2x = 1 + 4y Divide each side by '2'. x = 0.5 + 2y Simplifying x = 0.5 + 2y

Solution

x = {0.5 + 2y}

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