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

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


Simplifying
(2x + -1y)(x + y) = (6x + -1y)

Multiply (2x + -1y) * (x + y)
(2x * (x + y) + -1y * (x + y)) = (6x + -1y)
((x * 2x + y * 2x) + -1y * (x + y)) = (6x + -1y)

Reorder the terms:
((2xy + 2x2) + -1y * (x + y)) = (6x + -1y)
((2xy + 2x2) + -1y * (x + y)) = (6x + -1y)
(2xy + 2x2 + (x * -1y + y * -1y)) = (6x + -1y)
(2xy + 2x2 + (-1xy + -1y2)) = (6x + -1y)

Reorder the terms:
(2xy + -1xy + 2x2 + -1y2) = (6x + -1y)

Combine like terms: 2xy + -1xy = 1xy
(1xy + 2x2 + -1y2) = (6x + -1y)

Remove parenthesis around (6x + -1y)
1xy + 2x2 + -1y2 = 6x + -1y

Solving
1xy + 2x2 + -1y2 = 6x + -1y

Solving for variable 'x'.

Reorder the terms:
-6x + 1xy + 2x2 + y + -1y2 = 6x + -1y + -6x + y

Reorder the terms:
-6x + 1xy + 2x2 + y + -1y2 = 6x + -6x + -1y + y

Combine like terms: 6x + -6x = 0
-6x + 1xy + 2x2 + y + -1y2 = 0 + -1y + y
-6x + 1xy + 2x2 + y + -1y2 = -1y + y

Combine like terms: -1y + y = 0
-6x + 1xy + 2x2 + y + -1y2 = 0

The solution to this equation could not be determined.

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