3yx^2-9y^3-5=0

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Solution for 3yx^2-9y^3-5=0 equation: 


Simplifying
3yx2 + -9y3 + -5 = 0

Reorder the terms:
-5 + 3x2y + -9y3 = 0

Solving
-5 + 3x2y + -9y3 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 3x2y + 5 + -9y3 = 0 + 5

Reorder the terms:
-5 + 5 + 3x2y + -9y3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x2y + -9y3 = 0 + 5
3x2y + -9y3 = 0 + 5

Combine like terms: 0 + 5 = 5
3x2y + -9y3 = 5

Add '9y3' to each side of the equation.
3x2y + -9y3 + 9y3 = 5 + 9y3

Combine like terms: -9y3 + 9y3 = 0
3x2y + 0 = 5 + 9y3
3x2y = 5 + 9y3

Divide each side by '3y'.
x2 = 1.666666667y-1 + 3y2

Simplifying
x2 = 1.666666667y-1 + 3y2

Reorder the terms:
x2 + -1.666666667y-1 + -3y2 = 1.666666667y-1 + -1.666666667y-1 + 3y2 + -3y2

Combine like terms: 1.666666667y-1 + -1.666666667y-1 = 0.000000000
x2 + -1.666666667y-1 + -3y2 = 0.000000000 + 3y2 + -3y2
x2 + -1.666666667y-1 + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
x2 + -1.666666667y-1 + -3y2 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -1.666666667 + -3y3) = 0


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

Simplifying
y-1 = 0

Solving
y-1 = 0

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

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

Simplifying
0 = -1y-1

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 '(x2y + -1.666666667 + -3y3)' equal to zero and attempt to solve:

Simplifying
x2y + -1.666666667 + -3y3 = 0

Reorder the terms:
-1.666666667 + x2y + -3y3 = 0

Solving
-1.666666667 + x2y + -3y3 = 0

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

Add '1.666666667' to each side of the equation.
-1.666666667 + x2y + 1.666666667 + -3y3 = 0 + 1.666666667

Reorder the terms:
-1.666666667 + 1.666666667 + x2y + -3y3 = 0 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + x2y + -3y3 = 0 + 1.666666667
x2y + -3y3 = 0 + 1.666666667

Combine like terms: 0 + 1.666666667 = 1.666666667
x2y + -3y3 = 1.666666667

Add '3y3' to each side of the equation.
x2y + -3y3 + 3y3 = 1.666666667 + 3y3

Combine like terms: -3y3 + 3y3 = 0
x2y + 0 = 1.666666667 + 3y3
x2y = 1.666666667 + 3y3

Divide each side by 'y'.
x2 = 1.666666667y-1 + 3y2

Simplifying
x2 = 1.666666667y-1 + 3y2

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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