6x^2y-8xy^2+12xy=0

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Solution for 6x^2y-8xy^2+12xy=0 equation:


Simplifying
6x2y + -8xy2 + 12xy = 0

Reorder the terms:
12xy + -8xy2 + 6x2y = 0

Solving
12xy + -8xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(6 + -4y + 3x) = 0

Ignore the factor 2.

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 '(6 + -4y + 3x)' equal to zero and attempt to solve: Simplifying 6 + -4y + 3x = 0 Reorder the terms: 6 + 3x + -4y = 0 Solving 6 + 3x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3x + -6 + -4y = 0 + -6 Reorder the terms: 6 + -6 + 3x + -4y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x + -4y = 0 + -6 3x + -4y = 0 + -6 Combine like terms: 0 + -6 = -6 3x + -4y = -6 Add '4y' to each side of the equation. 3x + -4y + 4y = -6 + 4y Combine like terms: -4y + 4y = 0 3x + 0 = -6 + 4y 3x = -6 + 4y Divide each side by '3'. x = -2 + 1.333333333y Simplifying x = -2 + 1.333333333y

Solution

x = {-2 + 1.333333333y}

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