(3x+2y)(5x-3y)=9

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Solution for (3x+2y)(5x-3y)=9 equation:


Simplifying
(3x + 2y)(5x + -3y) = 9

Multiply (3x + 2y) * (5x + -3y)
(3x * (5x + -3y) + 2y * (5x + -3y)) = 9
((5x * 3x + -3y * 3x) + 2y * (5x + -3y)) = 9

Reorder the terms:
((-9xy + 15x2) + 2y * (5x + -3y)) = 9
((-9xy + 15x2) + 2y * (5x + -3y)) = 9
(-9xy + 15x2 + (5x * 2y + -3y * 2y)) = 9
(-9xy + 15x2 + (10xy + -6y2)) = 9

Reorder the terms:
(-9xy + 10xy + 15x2 + -6y2) = 9

Combine like terms: -9xy + 10xy = 1xy
(1xy + 15x2 + -6y2) = 9

Solving
1xy + 15x2 + -6y2 = 9

Solving for variable 'x'.

Reorder the terms:
-9 + 1xy + 15x2 + -6y2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 1xy + 15x2 + -6y2 = 0

The solution to this equation could not be determined.

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