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D( x )
2*x^2+5*x-3 = 0
2*x-1 = 0
x+3 = 0
2*x^2+5*x-3 = 0
2*x^2+5*x-3 = 0
2*x^2+5*x-3 = 0
DELTA = 5^2-(-3*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)
x = 1/2 or x = -3
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:1/2) U (1/2:+oo)
x/(x+3)-(1/(2*x-1)) = (3*x-5)/(2*x^2+5*x-3) // - (3*x-5)/(2*x^2+5*x-3)
x/(x+3)-(1/(2*x-1))-((3*x-5)/(2*x^2+5*x-3)) = 0
x/(x+3)-(2*x-1)^-1-((3*x-5)/(2*x^2+5*x-3)) = 0
x/(x+3)-1/(2*x-1)+(-1*(3*x-5))/(2*x^2+5*x-3) = 0
2*x^2+5*x-3 = 0
2*x^2+5*x-3 = 0
2*x^2+5*x-3 = 0
DELTA = 5^2-(-3*2*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-5)/(2*2) or x = (-49^(1/2)-5)/(2*2)
x = 1/2 or x = -3
(x+3)*(x-1/2) = 0
x/(x+3)-1/(2*x-1)+(-1*(3*x-5))/((x+3)*(x-1/2)) = 0
(x*(2*x-1))/((x+3)*(2*x-1))+(-1*(x+3))/((x+3)*(2*x-1))+(-1*(3*x-5)*(2*x-1))/((x+3)*(2*x-1)) = 0
x*(2*x-1)-1*(x+3)-1*(3*x-5)*(2*x-1) = 0
2*x^2-6*x^2-2*x+13*x-5-3 = 0
11*x-4*x^2-8 = 0
11*x-4*x^2-8 = 0
11*x-4*x^2-8 = 0
DELTA = 11^2-(-8*(-4)*4)
DELTA = -7
DELTA < 0
1 = 0
1/((x+3)*(2*x-1)) = 0
1/((x+3)*(2*x-1)) = 0 // * (x+3)*(2*x-1)
1 = 0
x belongs to the empty set
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