9xy^2-6xy-3x=0

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Solution for 9xy^2-6xy-3x=0 equation: 


Simplifying
9xy2 + -6xy + -3x = 0

Reorder the terms:
-3x + -6xy + 9xy2 = 0

Solving
-3x + -6xy + 9xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + -2y + 3y2) = 0

Factor a trinomial.
3x((-1 + -3y)(1 + -1y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + -3y)' equal to zero and attempt to solve:

Simplifying
-1 + -3y = 0

Solving
-1 + -3y = 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 + -3y = 0 + 1

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

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

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

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

Simplifying
0 = 1 + 3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

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

Simplifying
0 = -1 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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