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

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


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

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

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

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

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

Solving
x4 + -4y2 = 0

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
x4 + -4y2 + 4y2 = 0 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x4 + 0 = 0 + 4y2
x4 = 0 + 4y2
Remove the zero:
x4 = 4y2

Simplifying
x4 = 4y2

Combine like terms: 4y2 + -4y2 = 0
x4 + -4y2 = 0

Factor a difference between two squares.
(x2 + 2y)(x2 + -2y) = 0

Subproblem 1

Set the factor '(x2 + 2y)' equal to zero and attempt to solve: Simplifying x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y 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 + -2y)' equal to zero and attempt to solve: Simplifying x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y 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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