(x-2.5)(y-5)+(2.5y)+5(x-2.5)=300

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Solution for (x-2.5)(y-5)+(2.5y)+5(x-2.5)=300 equation: 


Simplifying
(x + -2.5)(y + -5) + (2.5y) + 5(x + -2.5) = 300

Reorder the terms:
(-2.5 + x)(y + -5) + (2.5y) + 5(x + -2.5) = 300

Reorder the terms:
(-2.5 + x)(-5 + y) + (2.5y) + 5(x + -2.5) = 300

Multiply (-2.5 + x) * (-5 + y)
(-2.5(-5 + y) + x(-5 + y)) + (2.5y) + 5(x + -2.5) = 300
((-5 * -2.5 + y * -2.5) + x(-5 + y)) + (2.5y) + 5(x + -2.5) = 300
((12.5 + -2.5y) + x(-5 + y)) + (2.5y) + 5(x + -2.5) = 300
(12.5 + -2.5y + (-5 * x + y * x)) + (2.5y) + 5(x + -2.5) = 300
(12.5 + -2.5y + (-5x + xy)) + (2.5y) + 5(x + -2.5) = 300

Reorder the terms:
(12.5 + -5x + xy + -2.5y) + (2.5y) + 5(x + -2.5) = 300
(12.5 + -5x + xy + -2.5y) + (2.5y) + 5(x + -2.5) = 300

Reorder the terms:
12.5 + -5x + xy + -2.5y + (2.5y) + 5(-2.5 + x) = 300
12.5 + -5x + xy + -2.5y + (2.5y) + (-2.5 * 5 + x * 5) = 300
12.5 + -5x + xy + -2.5y + (2.5y) + (-12.5 + 5x) = 300

Reorder the terms:
12.5 + -12.5 + -5x + 5x + xy + -2.5y + (2.5y) = 300

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -5x + 5x + xy + -2.5y + (2.5y) = 300
-5x + 5x + xy + -2.5y + (2.5y) = 300

Combine like terms: -5x + 5x = 0
0 + xy + -2.5y + (2.5y) = 300
xy + -2.5y + (2.5y) = 300

Combine like terms: -2.5y + (2.5y) = 0.0
xy + 0.0 = 300
xy = 300

Solving
xy = 300

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by 'y'.
x = 300y-1

Simplifying
x = 300y-1

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