((x+5)(y+10)-50)=125+30x-x^2

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Solution for ((x+5)(y+10)-50)=125+30x-x^2 equation: 


Simplifying
((x + 5)(y + 10) + -50) = 125 + 30x + -1x2

Reorder the terms:
((5 + x)(y + 10) + -50) = 125 + 30x + -1x2

Reorder the terms:
((5 + x)(10 + y) + -50) = 125 + 30x + -1x2

Multiply (5 + x) * (10 + y)
((5(10 + y) + x(10 + y)) + -50) = 125 + 30x + -1x2
(((10 * 5 + y * 5) + x(10 + y)) + -50) = 125 + 30x + -1x2
(((50 + 5y) + x(10 + y)) + -50) = 125 + 30x + -1x2
((50 + 5y + (10 * x + y * x)) + -50) = 125 + 30x + -1x2
((50 + 5y + (10x + xy)) + -50) = 125 + 30x + -1x2

Reorder the terms:
((50 + 10x + xy + 5y) + -50) = 125 + 30x + -1x2
((50 + 10x + xy + 5y) + -50) = 125 + 30x + -1x2

Reorder the terms:
(50 + -50 + 10x + xy + 5y) = 125 + 30x + -1x2

Combine like terms: 50 + -50 = 0
(0 + 10x + xy + 5y) = 125 + 30x + -1x2
(10x + xy + 5y) = 125 + 30x + -1x2

Remove parenthesis around (10x + xy + 5y)
10x + xy + 5y = 125 + 30x + -1x2

Solving
10x + xy + 5y = 125 + 30x + -1x2

Solving for variable 'x'.

Reorder the terms:
-125 + 10x + -30x + xy + x2 + 5y = 125 + 30x + -1x2 + -125 + -30x + x2

Combine like terms: 10x + -30x = -20x
-125 + -20x + xy + x2 + 5y = 125 + 30x + -1x2 + -125 + -30x + x2

Reorder the terms:
-125 + -20x + xy + x2 + 5y = 125 + -125 + 30x + -30x + -1x2 + x2

Combine like terms: 125 + -125 = 0
-125 + -20x + xy + x2 + 5y = 0 + 30x + -30x + -1x2 + x2
-125 + -20x + xy + x2 + 5y = 30x + -30x + -1x2 + x2

Combine like terms: 30x + -30x = 0
-125 + -20x + xy + x2 + 5y = 0 + -1x2 + x2
-125 + -20x + xy + x2 + 5y = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-125 + -20x + xy + x2 + 5y = 0

The solution to this equation could not be determined.

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