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x in (-oo:+oo)
(x^2)/2+(3*x)/5 = (x+30)/10 // - (x+30)/10
(x^2)/2-((x+30)/10)+(3*x)/5 = 0
(-1*(x+30))/10+(x^2)/2+(3*x)/5 = 0
(-1*2*5*(x+30))/(2*5*10)+(5*10*x^2)/(2*5*10)+(2*3*10*x)/(2*5*10) = 0
5*10*x^2-1*2*5*(x+30)+2*3*10*x = 0
50*x^2-10*x+60*x-300 = 0
50*x^2+50*x-300 = 0
50*x^2+50*x-300 = 0
50*(x^2+x-6) = 0
x^2+x-6 = 0
DELTA = 1^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)
x = 2 or x = -3
50*(x+3)*(x-2) = 0
(50*(x+3)*(x-2))/(2*5*10) = 0
(50*(x+3)*(x-2))/(2*5*10) = 0 // * 2*5*10
50*(x+3)*(x-2) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -3, 2 }
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