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

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


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

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

Reorder the terms:
((15xy + 20x2) + -2y * (4x + 3y)) = 2a
((15xy + 20x2) + -2y * (4x + 3y)) = 2a
(15xy + 20x2 + (4x * -2y + 3y * -2y)) = 2a
(15xy + 20x2 + (-8xy + -6y2)) = 2a

Reorder the terms:
(15xy + -8xy + 20x2 + -6y2) = 2a

Combine like terms: 15xy + -8xy = 7xy
(7xy + 20x2 + -6y2) = 2a

Solving
7xy + 20x2 + -6y2 = 2a

Solving for variable 'x'.

Reorder the terms:
-2a + 7xy + 20x2 + -6y2 = 2a + -2a

Combine like terms: 2a + -2a = 0
-2a + 7xy + 20x2 + -6y2 = 0

The solution to this equation could not be determined.

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