12x^3y^2-4y^3=-6

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


Simplifying
12x3y2 + -4y3 = -6

Solving
12x3y2 + -4y3 = -6

Solving for variable 'x'.

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

Add '4y3' to each side of the equation.
12x3y2 + -4y3 + 4y3 = -6 + 4y3

Combine like terms: -4y3 + 4y3 = 0
12x3y2 + 0 = -6 + 4y3
12x3y2 = -6 + 4y3

Divide each side by '12y2'.
x3 = -0.5y-2 + 0.3333333333y

Simplifying
x3 = -0.5y-2 + 0.3333333333y

Reorder the terms:
x3 + 0.5y-2 + -0.3333333333y = -0.5y-2 + 0.5y-2 + 0.3333333333y + -0.3333333333y

Combine like terms: -0.5y-2 + 0.5y-2 = 0.0
x3 + 0.5y-2 + -0.3333333333y = 0.0 + 0.3333333333y + -0.3333333333y
x3 + 0.5y-2 + -0.3333333333y = 0.3333333333y + -0.3333333333y

Combine like terms: 0.3333333333y + -0.3333333333y = 0.0000000000
x3 + 0.5y-2 + -0.3333333333y = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'y-2'.
y-2(x3y2 + 0.5 + -0.3333333333y3) = 0.0000000000


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

Simplifying
y-2 = 0

Solving
y-2 = 0

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

Add '-1y-2' to each side of the equation.
y-2 + -1y-2 = 0 + -1y-2
Remove the zero:
0 = -1y-2

Simplifying
0 = -1y-2

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 '(x3y2 + 0.5 + -0.3333333333y3)' equal to zero and attempt to solve:

Simplifying
x3y2 + 0.5 + -0.3333333333y3 = 0

Reorder the terms:
0.5 + x3y2 + -0.3333333333y3 = 0

Solving
0.5 + x3y2 + -0.3333333333y3 = 0

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

Add '-0.5' to each side of the equation.
0.5 + x3y2 + -0.5 + -0.3333333333y3 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + x3y2 + -0.3333333333y3 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x3y2 + -0.3333333333y3 = 0 + -0.5
x3y2 + -0.3333333333y3 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
x3y2 + -0.3333333333y3 = -0.5

Add '0.3333333333y3' to each side of the equation.
x3y2 + -0.3333333333y3 + 0.3333333333y3 = -0.5 + 0.3333333333y3

Combine like terms: -0.3333333333y3 + 0.3333333333y3 = 0.0000000000
x3y2 + 0.0000000000 = -0.5 + 0.3333333333y3
x3y2 = -0.5 + 0.3333333333y3

Divide each side by 'y2'.
x3 = -0.5y-2 + 0.3333333333y

Simplifying
x3 = -0.5y-2 + 0.3333333333y

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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