(2x-3y)(4x+6y)=x

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Solution for (2x-3y)(4x+6y)=x equation: 


Simplifying
(2x + -3y)(4x + 6y) = x

Multiply (2x + -3y) * (4x + 6y)
(2x * (4x + 6y) + -3y * (4x + 6y)) = x
((4x * 2x + 6y * 2x) + -3y * (4x + 6y)) = x

Reorder the terms:
((12xy + 8x2) + -3y * (4x + 6y)) = x
((12xy + 8x2) + -3y * (4x + 6y)) = x
(12xy + 8x2 + (4x * -3y + 6y * -3y)) = x
(12xy + 8x2 + (-12xy + -18y2)) = x

Reorder the terms:
(12xy + -12xy + 8x2 + -18y2) = x

Combine like terms: 12xy + -12xy = 0
(0 + 8x2 + -18y2) = x
(8x2 + -18y2) = x

Solving
8x2 + -18y2 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 8x2 + -18y2 = x + -1x

Combine like terms: x + -1x = 0
-1x + 8x2 + -18y2 = 0

The solution to this equation could not be determined.

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