9y^2x^2+12yx^2+4x^2=

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Solution for 9y^2x^2+12yx^2+4x^2= equation: 


Simplifying
9y2x2 + 12yx2 + 4x2 = 0

Reorder the terms:
4x2 + 12x2y + 9x2y2 = 0

Solving
4x2 + 12x2y + 9x2y2 = 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), 'x2'.
x2(4 + 12y + 9y2) = 0

Factor a trinomial.
x2((2 + 3y)(2 + 3y)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Add '-3y' to each side of the equation.
3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
0 = -2 + -3y

Simplifying
0 = -2 + -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 '(2 + 3y)' equal to zero and attempt to solve:

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Add '-3y' to each side of the equation.
3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
0 = -2 + -3y

Simplifying
0 = -2 + -3y

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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