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

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


Simplifying
3x(2x2 + -1y) = 0
(2x2 * 3x + -1y * 3x) = 0

Reorder the terms:
(-3xy + 6x3) = 0
(-3xy + 6x3) = 0

Solving
-3xy + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1y + 2x2) = 0

Ignore the factor 3.

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 '(-1y + 2x2)' equal to zero and attempt to solve:

Simplifying
-1y + 2x2 = 0

Reorder the terms:
2x2 + -1y = 0

Solving
2x2 + -1y = 0

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

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

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

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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