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

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


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

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

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

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

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

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

(3*x-1)*(x+2)+4 = 0

3*x^2+5*x+2 = 0

3*x^2+5*x+2 = 0

3*x^2+5*x+2 = 0

DELTA = 5^2-(2*3*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(2*3) or x = (-1^(1/2)-5)/(2*3)

x = -2/3 or x = -1

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

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

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

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x+2/3 )

x+2/3 = 0 // - 2/3

x = -2/3

x in { -1, -2/3 }

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