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

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


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

Reorder the terms:
(x2 + 4y)(4y + x2) = 0

Reorder the terms:
(x2 + 4y)(x2 + 4y) = 0

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

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

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

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

Solving
8x2y + x4 + 16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + 4y)(x2 + 4y) = 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 '(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.

The solution to this equation could not be determined.

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