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

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


Simplifying
(x2 + -4y)(2x2 + y) = 0

Multiply (x2 + -4y) * (2x2 + y)
(x2(2x2 + y) + -4y * (2x2 + y)) = 0
((2x2 * x2 + y * x2) + -4y * (2x2 + y)) = 0

Reorder the terms:
((x2y + 2x4) + -4y * (2x2 + y)) = 0
((x2y + 2x4) + -4y * (2x2 + y)) = 0
(x2y + 2x4 + (2x2 * -4y + y * -4y)) = 0
(x2y + 2x4 + (-8x2y + -4y2)) = 0

Reorder the terms:
(x2y + -8x2y + 2x4 + -4y2) = 0

Combine like terms: x2y + -8x2y = -7x2y
(-7x2y + 2x4 + -4y2) = 0

Solving
-7x2y + 2x4 + -4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -4y)(2x2 + y) = 0


Subproblem 1
Set the factor '(x2 + -4y)' equal to zero and attempt to solve:

Simplifying
x2 + -4y = 0

Solving
x2 + -4y = 0

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

Add '4y' to each side of the equation.
x2 + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 = 0 + 4y
x2 = 0 + 4y
Remove the zero:
x2 = 4y

Simplifying
x2 = 4y

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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