12x^3y^3+28x^3y^2+32x^4-4x^3=0

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Solution for 12x^3y^3+28x^3y^2+32x^4-4x^3=0 equation: 


Simplifying
12x3y3 + 28x3y2 + 32x4 + -4x3 = 0

Reorder the terms:
-4x3 + 28x3y2 + 12x3y3 + 32x4 = 0

Solving
-4x3 + 28x3y2 + 12x3y3 + 32x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(-1 + 7y2 + 3y3 + 8x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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 + 7y2 + 3y3 + 8x)' equal to zero and attempt to solve:

Simplifying
-1 + 7y2 + 3y3 + 8x = 0

Reorder the terms:
-1 + 8x + 7y2 + 3y3 = 0

Solving
-1 + 8x + 7y2 + 3y3 = 0

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

Add '1' to each side of the equation.
-1 + 8x + 7y2 + 1 + 3y3 = 0 + 1

Reorder the terms:
-1 + 1 + 8x + 7y2 + 3y3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x + 7y2 + 3y3 = 0 + 1
8x + 7y2 + 3y3 = 0 + 1

Combine like terms: 0 + 1 = 1
8x + 7y2 + 3y3 = 1

Add '-7y2' to each side of the equation.
8x + 7y2 + -7y2 + 3y3 = 1 + -7y2

Combine like terms: 7y2 + -7y2 = 0
8x + 0 + 3y3 = 1 + -7y2
8x + 3y3 = 1 + -7y2

Add '-3y3' to each side of the equation.
8x + 3y3 + -3y3 = 1 + -7y2 + -3y3

Combine like terms: 3y3 + -3y3 = 0
8x + 0 = 1 + -7y2 + -3y3
8x = 1 + -7y2 + -3y3

Divide each side by '8'.
x = 0.125 + -0.875y2 + -0.375y3

Simplifying
x = 0.125 + -0.875y2 + -0.375y3
Solution
x = {0.125 + -0.875y2 + -0.375y3}

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