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

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


Simplifying
4x(2x2 + y) = 0
(2x2 * 4x + y * 4x) = 0

Reorder the terms:
(4xy + 8x3) = 0
(4xy + 8x3) = 0

Solving
4xy + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(y + 2x2) = 0

Ignore the factor 4.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y + 2x2)' equal to zero and attempt to solve:

Simplifying
y + 2x2 = 0

Reorder the terms:
2x2 + y = 0

Solving
2x2 + y = 0

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

Add '-1y' to each side of the equation.
2x2 + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2x2 + 0 = 0 + -1y
2x2 = 0 + -1y
Remove the zero:
2x2 = -1y

Divide each side by '2'.
x2 = -0.5y

Simplifying
x2 = -0.5y

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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