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

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


Simplifying
(2x2 + y)(x2 + -3y) = 0

Multiply (2x2 + y) * (x2 + -3y)
(2x2 * (x2 + -3y) + y(x2 + -3y)) = 0
((x2 * 2x2 + -3y * 2x2) + y(x2 + -3y)) = 0

Reorder the terms:
((-6x2y + 2x4) + y(x2 + -3y)) = 0
((-6x2y + 2x4) + y(x2 + -3y)) = 0
(-6x2y + 2x4 + (x2 * y + -3y * y)) = 0
(-6x2y + 2x4 + (x2y + -3y2)) = 0

Reorder the terms:
(-6x2y + x2y + 2x4 + -3y2) = 0

Combine like terms: -6x2y + x2y = -5x2y
(-5x2y + 2x4 + -3y2) = 0

Solving
-5x2y + 2x4 + -3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -3y)(2x2 + y) = 0


Subproblem 1
Set the factor '(x2 + -3y)' equal to zero and attempt to solve:

Simplifying
x2 + -3y = 0

Solving
x2 + -3y = 0

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

Add '3y' to each side of the equation.
x2 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
x2 + 0 = 0 + 3y
x2 = 0 + 3y
Remove the zero:
x2 = 3y

Simplifying
x2 = 3y

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

Simplifying
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.

The solution to this equation could not be determined.

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