18x^3y^4+12x^2y^3-6xy^2=

Solution for 18x^3y^4+12x^2y^3-6xy^2= equation:

Simplifying
18x3y4 + 12x2y3 + -6xy2 = 0

Reorder the terms:
-6xy2 + 12x2y3 + 18x3y4 = 0

Solving
-6xy2 + 12x2y3 + 18x3y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6xy2'.
6xy2(-1 + 2xy + 3x2y2) = 0

Factor a trinomial.
6xy2((-1 + -1xy)(1 + -3xy)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
xy2 = 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 + -1xy)' equal to zero and attempt to solve:

Simplifying
-1 + -1xy = 0

Solving
-1 + -1xy = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1xy = 0 + 1
-1xy = 0 + 1

Combine like terms: 0 + 1 = 1
-1xy = 1

Divide each side by '-1y'.
x = -1y-1

Simplifying
x = -1y-1
Subproblem 3
Set the factor '(1 + -3xy)' equal to zero and attempt to solve:

Simplifying
1 + -3xy = 0

Solving
1 + -3xy = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3xy = 0 + -1
-3xy = 0 + -1

Combine like terms: 0 + -1 = -1
-3xy = -1

Divide each side by '-3y'.
x = 0.3333333333y-1

Simplifying
x = 0.3333333333y-1
Solution
x = {-1y-1, 0.3333333333y-1}