(2x^4+6y)(2x^4-6y)=

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Solution for (2x^4+6y)(2x^4-6y)= equation: 


Simplifying
(2x4 + 6y)(2x4 + -6y) = 0

Multiply (2x4 + 6y) * (2x4 + -6y)
(2x4 * (2x4 + -6y) + 6y * (2x4 + -6y)) = 0
((2x4 * 2x4 + -6y * 2x4) + 6y * (2x4 + -6y)) = 0

Reorder the terms:
((-12x4y + 4x8) + 6y * (2x4 + -6y)) = 0
((-12x4y + 4x8) + 6y * (2x4 + -6y)) = 0
(-12x4y + 4x8 + (2x4 * 6y + -6y * 6y)) = 0
(-12x4y + 4x8 + (12x4y + -36y2)) = 0

Reorder the terms:
(-12x4y + 12x4y + 4x8 + -36y2) = 0

Combine like terms: -12x4y + 12x4y = 0
(0 + 4x8 + -36y2) = 0
(4x8 + -36y2) = 0

Solving
4x8 + -36y2 = 0

Solving for variable 'x'.

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

Add '36y2' to each side of the equation.
4x8 + -36y2 + 36y2 = 0 + 36y2

Combine like terms: -36y2 + 36y2 = 0
4x8 + 0 = 0 + 36y2
4x8 = 0 + 36y2
Remove the zero:
4x8 = 36y2

Divide each side by '4'.
x8 = 9y2

Simplifying
x8 = 9y2

Combine like terms: 9y2 + -9y2 = 0
x8 + -9y2 = 0

Factor a difference between two squares.
(x4 + 3y)(x4 + -3y) = 0


Subproblem 1
Set the factor '(x4 + 3y)' equal to zero and attempt to solve:

Simplifying
x4 + 3y = 0

Solving
x4 + 3y = 0

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

Add '-3y' to each side of the equation.
x4 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x4 + 0 = 0 + -3y
x4 = 0 + -3y
Remove the zero:
x4 = -3y

Simplifying
x4 = -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 '(x4 + -3y)' equal to zero and attempt to solve:

Simplifying
x4 + -3y = 0

Solving
x4 + -3y = 0

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

Add '3y' to each side of the equation.
x4 + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
x4 + 0 = 0 + 3y
x4 = 0 + 3y
Remove the zero:
x4 = 3y

Simplifying
x4 = 3y

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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