(4x+2y)(4x-2y)=16x^2+16xy-4y^2

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Solution for (4x+2y)(4x-2y)=16x^2+16xy-4y^2 equation: 


Simplifying
(4x + 2y)(4x + -2y) = 16x2 + 16xy + -4y2

Multiply (4x + 2y) * (4x + -2y)
(4x * (4x + -2y) + 2y * (4x + -2y)) = 16x2 + 16xy + -4y2
((4x * 4x + -2y * 4x) + 2y * (4x + -2y)) = 16x2 + 16xy + -4y2

Reorder the terms:
((-8xy + 16x2) + 2y * (4x + -2y)) = 16x2 + 16xy + -4y2
((-8xy + 16x2) + 2y * (4x + -2y)) = 16x2 + 16xy + -4y2
(-8xy + 16x2 + (4x * 2y + -2y * 2y)) = 16x2 + 16xy + -4y2
(-8xy + 16x2 + (8xy + -4y2)) = 16x2 + 16xy + -4y2

Reorder the terms:
(-8xy + 8xy + 16x2 + -4y2) = 16x2 + 16xy + -4y2

Combine like terms: -8xy + 8xy = 0
(0 + 16x2 + -4y2) = 16x2 + 16xy + -4y2
(16x2 + -4y2) = 16x2 + 16xy + -4y2

Reorder the terms:
16x2 + -4y2 = 16xy + 16x2 + -4y2

Add '-16x2' to each side of the equation.
16x2 + -16x2 + -4y2 = 16xy + 16x2 + -16x2 + -4y2

Combine like terms: 16x2 + -16x2 = 0
0 + -4y2 = 16xy + 16x2 + -16x2 + -4y2
-4y2 = 16xy + 16x2 + -16x2 + -4y2

Combine like terms: 16x2 + -16x2 = 0
-4y2 = 16xy + 0 + -4y2
-4y2 = 16xy + -4y2

Add '4y2' to each side of the equation.
-4y2 + 4y2 = 16xy + -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
0 = 16xy + -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
0 = 16xy + 0
0 = 16xy

Solving
0 = 16xy

Solving for variable 'x'.

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

Add '-16xy' to each side of the equation.
0 + -16xy = 16xy + -16xy
Remove the zero:
-16xy = 16xy + -16xy

Combine like terms: 16xy + -16xy = 0
-16xy = 0

Divide each side by '-16'.
xy = 0

Simplifying
xy = 0

The solution to this equation could not be determined.

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