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

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


Simplifying
(x + -2y)(x + 2y) = 4

Multiply (x + -2y) * (x + 2y)
(x(x + 2y) + -2y * (x + 2y)) = 4
((x * x + 2y * x) + -2y * (x + 2y)) = 4

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

Reorder the terms:
(2xy + -2xy + x2 + -4y2) = 4

Combine like terms: 2xy + -2xy = 0
(0 + x2 + -4y2) = 4
(x2 + -4y2) = 4

Solving
x2 + -4y2 = 4

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.
x2 + -4y2 + 4y2 = 4 + 4y2

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

Simplifying
x2 = 4 + 4y2

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

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

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

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

The solution to this equation could not be determined.

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