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

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


Simplifying
3x2y3 + -6x3y2 + 12x2y2 = 0

Reorder the terms:
12x2y2 + 3x2y3 + -6x3y2 = 0

Solving
12x2y2 + 3x2y3 + -6x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y2'.
3x2y2(4 + y + -2x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(4 + y + -2x)' equal to zero and attempt to solve: Simplifying 4 + y + -2x = 0 Reorder the terms: 4 + -2x + y = 0 Solving 4 + -2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2x + -4 + y = 0 + -4 Reorder the terms: 4 + -4 + -2x + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + y = 0 + -4 -2x + y = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + y = -4 Add '-1y' to each side of the equation. -2x + y + -1y = -4 + -1y Combine like terms: y + -1y = 0 -2x + 0 = -4 + -1y -2x = -4 + -1y Divide each side by '-2'. x = 2 + 0.5y Simplifying x = 2 + 0.5y

Solution

x = {2 + 0.5y}

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