4x^2y^3(2x+4y^3-y)=0

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Solution for 4x^2y^3(2x+4y^3-y)=0 equation: 


Simplifying
4x2y3(2x + 4y3 + -1y) = 0

Reorder the terms:
4x2y3(2x + -1y + 4y3) = 0
(2x * 4x2y3 + -1y * 4x2y3 + 4y3 * 4x2y3) = 0

Reorder the terms:
(-4x2y4 + 16x2y6 + 8x3y3) = 0
(-4x2y4 + 16x2y6 + 8x3y3) = 0

Solving
-4x2y4 + 16x2y6 + 8x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y3'.
4x2y3(-1y + 4y3 + 2x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-1y + 4y3 + 2x)' equal to zero and attempt to solve:

Simplifying
-1y + 4y3 + 2x = 0

Reorder the terms:
2x + -1y + 4y3 = 0

Solving
2x + -1y + 4y3 = 0

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

Add 'y' to each side of the equation.
2x + -1y + y + 4y3 = 0 + y

Combine like terms: -1y + y = 0
2x + 0 + 4y3 = 0 + y
2x + 4y3 = 0 + y
Remove the zero:
2x + 4y3 = y

Add '-4y3' to each side of the equation.
2x + 4y3 + -4y3 = y + -4y3

Combine like terms: 4y3 + -4y3 = 0
2x + 0 = y + -4y3
2x = y + -4y3

Divide each side by '2'.
x = 0.5y + -2y3

Simplifying
x = 0.5y + -2y3
Solution
x = {0.5y + -2y3}

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