(2x+y)(x-2y)=7

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Solution for (2x+y)(x-2y)=7 equation:


Simplifying
(2x + y)(x + -2y) = 7

Multiply (2x + y) * (x + -2y)
(2x * (x + -2y) + y(x + -2y)) = 7
((x * 2x + -2y * 2x) + y(x + -2y)) = 7

Reorder the terms:
((-4xy + 2x2) + y(x + -2y)) = 7
((-4xy + 2x2) + y(x + -2y)) = 7
(-4xy + 2x2 + (x * y + -2y * y)) = 7
(-4xy + 2x2 + (xy + -2y2)) = 7

Reorder the terms:
(-4xy + xy + 2x2 + -2y2) = 7

Combine like terms: -4xy + xy = -3xy
(-3xy + 2x2 + -2y2) = 7

Solving
-3xy + 2x2 + -2y2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + -3xy + 2x2 + -2y2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -3xy + 2x2 + -2y2 = 0

The solution to this equation could not be determined.

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