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x in (-oo:+oo)
x*(x+2)-((1/3)*x) = 250 // - 250
x*(x+2)-((1/3)*x)-250 = 0
x*(x+2)+(-1/3)*x-250 = 0
x*(x+2)-x/3-250 = 0
(3*x*(x+2))/3-x/3+(-250*3)/3 = 0
3*x*(x+2)-x-250*3 = 0
3*x^2+5*x-750 = 0
3*x^2+5*x-750 = 0
3*x^2+5*x-750 = 0
DELTA = 5^2-(-750*3*4)
DELTA = 9025
DELTA > 0
x = (9025^(1/2)-5)/(2*3) or x = (-9025^(1/2)-5)/(2*3)
x = 15 or x = -50/3
(x+50/3)*(x-15) = 0
((x+50/3)*(x-15))/3 = 0
((x+50/3)*(x-15))/3 = 0 // * 3
(x+50/3)*(x-15) = 0
( x+50/3 )
x+50/3 = 0 // - 50/3
x = -50/3
( x-15 )
x-15 = 0 // + 15
x = 15
x in { -50/3, 15 }
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