(x+2y)(x-2y)=50

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Solution for (x+2y)(x-2y)=50 equation:


Simplifying
(x + 2y)(x + -2y) = 50

Multiply (x + 2y) * (x + -2y)
(x(x + -2y) + 2y * (x + -2y)) = 50
((x * x + -2y * x) + 2y * (x + -2y)) = 50

Reorder the terms:
((-2xy + x2) + 2y * (x + -2y)) = 50
((-2xy + x2) + 2y * (x + -2y)) = 50
(-2xy + x2 + (x * 2y + -2y * 2y)) = 50
(-2xy + x2 + (2xy + -4y2)) = 50

Reorder the terms:
(-2xy + 2xy + x2 + -4y2) = 50

Combine like terms: -2xy + 2xy = 0
(0 + x2 + -4y2) = 50
(x2 + -4y2) = 50

Solving
x2 + -4y2 = 50

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 = 50 + 4y2

Combine like terms: -4y2 + 4y2 = 0
x2 + 0 = 50 + 4y2
x2 = 50 + 4y2

Simplifying
x2 = 50 + 4y2

Reorder the terms:
-50 + x2 + -4y2 = 50 + 4y2 + -50 + -4y2

Reorder the terms:
-50 + x2 + -4y2 = 50 + -50 + 4y2 + -4y2

Combine like terms: 50 + -50 = 0
-50 + x2 + -4y2 = 0 + 4y2 + -4y2
-50 + x2 + -4y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
-50 + x2 + -4y2 = 0

The solution to this equation could not be determined.

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