(2x+3y)(4x-5y)=X

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Solution for (2x+3y)(4x-5y)=X equation: 


Simplifying
(2x + 3y)(4x + -5y) = X

Multiply (2x + 3y) * (4x + -5y)
(2x * (4x + -5y) + 3y * (4x + -5y)) = X
((4x * 2x + -5y * 2x) + 3y * (4x + -5y)) = X

Reorder the terms:
((-10xy + 8x2) + 3y * (4x + -5y)) = X
((-10xy + 8x2) + 3y * (4x + -5y)) = X
(-10xy + 8x2 + (4x * 3y + -5y * 3y)) = X
(-10xy + 8x2 + (12xy + -15y2)) = X

Reorder the terms:
(-10xy + 12xy + 8x2 + -15y2) = X

Combine like terms: -10xy + 12xy = 2xy
(2xy + 8x2 + -15y2) = X

Solving
2xy + 8x2 + -15y2 = X

Solving for variable 'x'.

Reorder the terms:
-1X + 2xy + 8x2 + -15y2 = X + -1X

Combine like terms: X + -1X = 0
-1X + 2xy + 8x2 + -15y2 = 0

The solution to this equation could not be determined.

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