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

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


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

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

Reorder the terms:
((8x2y + 16x4) + 2y * (4x2 + 2y)) = 0
((8x2y + 16x4) + 2y * (4x2 + 2y)) = 0
(8x2y + 16x4 + (4x2 * 2y + 2y * 2y)) = 0
(8x2y + 16x4 + (8x2y + 4y2)) = 0

Reorder the terms:
(8x2y + 8x2y + 16x4 + 4y2) = 0

Combine like terms: 8x2y + 8x2y = 16x2y
(16x2y + 16x4 + 4y2) = 0

Solving
16x2y + 16x4 + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4x2y + 4x4 + y2) = 0

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

Ignore the factor 4.

Subproblem 1
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.

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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