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x in (-oo:+oo)
75 = (x^2+5*x)/200 // - (x^2+5*x)/200
75-((x^2+5*x)/200) = 0
(-1*(x^2+5*x))/200+75 = 0
(-1*(x^2+5*x))/200+(75*200)/200 = 0
75*200-1*(x^2+5*x) = 0
15000-x^2-5*x = 0
15000-x^2-5*x = 0
15000-x^2-5*x = 0
DELTA = (-5)^2-(-1*4*15000)
DELTA = 60025
DELTA > 0
x = (60025^(1/2)+5)/(-1*2) or x = (5-60025^(1/2))/(-1*2)
x = -125 or x = 120
(x+125)*(x-120) = 0
((x+125)*(x-120))/200 = 0
((x+125)*(x-120))/200 = 0 // * 200
(x+125)*(x-120) = 0
( x+125 )
x+125 = 0 // - 125
x = -125
( x-120 )
x-120 = 0 // + 120
x = 120
x in { -125, 120 }
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