12x^3y-6x^2y^2+18x^2y=0

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Solution for 12x^3y-6x^2y^2+18x^2y=0 equation:


Simplifying
12x3y + -6x2y2 + 18x2y = 0

Reorder the terms:
18x2y + -6x2y2 + 12x3y = 0

Solving
18x2y + -6x2y2 + 12x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2y'.
6x2y(3 + -1y + 2x) = 0

Ignore the factor 6.

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 '(3 + -1y + 2x)' equal to zero and attempt to solve: Simplifying 3 + -1y + 2x = 0 Reorder the terms: 3 + 2x + -1y = 0 Solving 3 + 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + 2x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x + -1y = 0 + -3 2x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 2x + -1y = -3 Add 'y' to each side of the equation. 2x + -1y + y = -3 + y Combine like terms: -1y + y = 0 2x + 0 = -3 + y 2x = -3 + y Divide each side by '2'. x = -1.5 + 0.5y Simplifying x = -1.5 + 0.5y

Solution

x = {-1.5 + 0.5y}

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