(2x+5y)(45x+7y)=100

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Solution for (2x+5y)(45x+7y)=100 equation: 


Simplifying
(2x + 5y)(45x + 7y) = 100

Multiply (2x + 5y) * (45x + 7y)
(2x * (45x + 7y) + 5y * (45x + 7y)) = 100
((45x * 2x + 7y * 2x) + 5y * (45x + 7y)) = 100

Reorder the terms:
((14xy + 90x2) + 5y * (45x + 7y)) = 100
((14xy + 90x2) + 5y * (45x + 7y)) = 100
(14xy + 90x2 + (45x * 5y + 7y * 5y)) = 100
(14xy + 90x2 + (225xy + 35y2)) = 100

Reorder the terms:
(14xy + 225xy + 90x2 + 35y2) = 100

Combine like terms: 14xy + 225xy = 239xy
(239xy + 90x2 + 35y2) = 100

Solving
239xy + 90x2 + 35y2 = 100

Solving for variable 'x'.

Reorder the terms:
-100 + 239xy + 90x2 + 35y2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 239xy + 90x2 + 35y2 = 0

The solution to this equation could not be determined.

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