-3/(x+2)=(-5/(2x+4))+2

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Solution for -3/(x+2)=(-5/(2x+4))+2 equation: 


D( x )

x+2 = 0

2*x+4 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

2*x+4 = 0

2*x+4 = 0

2*x+4 = 0 // - 4

2*x = -4 // : 2

x = -4/2

x = -2

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

-3/(x+2) = 2-5/(2*x+4) // - 2-5/(2*x+4)

-3/(x+2)-(-5/(2*x+4))-2 = 0

5*(2*x+4)^-1-3/(x+2)-2 = 0

5/(2*x+4)-3/(x+2)-2 = 0

(-3*(2*x+4))/((x+2)*(2*x+4))+(5*(x+2))/((x+2)*(2*x+4))+(-2*(x+2)*(2*x+4))/((x+2)*(2*x+4)) = 0

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

-4*x^2-x-16*x-16-2 = 0

-4*x^2-17*x-18 = 0

-4*x^2-17*x-18 = 0

-1*(4*x^2+17*x+18) = 0

4*x^2+17*x+18 = 0

DELTA = 17^2-(4*4*18)

DELTA = 1

DELTA > 0

x = (1^(1/2)-17)/(2*4) or x = (-1^(1/2)-17)/(2*4)

x = -2 or x = -9/4

-1*(x+9/4)*(x+2) = 0

(-1*(x+9/4)*(x+2))/((x+2)*(2*x+4)) = 0

(-1*(x+9/4)*(x+2))/((x+2)*(2*x+4)) = 0 // * (x+2)*(2*x+4)

-1*(x+9/4)*(x+2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+9/4 )

x+9/4 = 0 // - 9/4

x = -9/4

x in { -2} 

x = -9/4

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