x/(x+2)+3/(2x-1)

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Solution for x/(x+2)+3/(2x-1) equation: 


D( x )

x+2 = 0

2*x-1 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x in (-oo:-2) U (-2:1/2) U (1/2:+oo)

x/(x+2)+3/(2*x-1) = 0

(x*(2*x-1))/((x+2)*(2*x-1))+(3*(x+2))/((x+2)*(2*x-1)) = 0

x*(2*x-1)+3*(x+2) = 0

2*x^2+2*x+6 = 0

2*x^2+2*x+6 = 0

2*(x^2+x+3) = 0

x^2+x+3 = 0

DELTA = 1^2-(1*3*4)

DELTA = -11

DELTA < 0

2 = 0

2/((x+2)*(2*x-1)) = 0

2/((x+2)*(2*x-1)) = 0 // * (x+2)*(2*x-1)

2 = 0

x belongs to the empty set

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