(-(5)/(x+2))=(-(3)/(4x+8))+2

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Solution for (-(5)/(x+2))=(-(3)/(4x+8))+2 equation:


D( x )

x+2 = 0

4*x+8 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

4*x+8 = 0

4*x+8 = 0

4*x+8 = 0 // - 8

4*x = -8 // : 4

x = -8/4

x = -2

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

-(5/(x+2)) = 2-(3/(4*x+8)) // - 2-(3/(4*x+8))

3/(4*x+8)-(5/(x+2))-2 = 0

3/(4*x+8)-5*(x+2)^-1-2 = 0

3/(4*x+8)-5/(x+2)-2 = 0

(-5*(4*x+8))/((x+2)*(4*x+8))+(3*(x+2))/((x+2)*(4*x+8))+(-2*(x+2)*(4*x+8))/((x+2)*(4*x+8)) = 0

3*(x+2)-5*(4*x+8)-2*(x+2)*(4*x+8) = 0

-8*x^2-17*x-32*x-34-32 = 0

-8*x^2-49*x-66 = 0

-8*x^2-49*x-66 = 0

-1*(8*x^2+49*x+66) = 0

8*x^2+49*x+66 = 0

DELTA = 49^2-(4*8*66)

DELTA = 289

DELTA > 0

x = (289^(1/2)-49)/(2*8) or x = (-289^(1/2)-49)/(2*8)

x = -2 or x = -33/8

-1*(x+33/8)*(x+2) = 0

(-1*(x+33/8)*(x+2))/((x+2)*(4*x+8)) = 0

(-1*(x+33/8)*(x+2))/((x+2)*(4*x+8)) = 0 // * (x+2)*(4*x+8)

-1*(x+33/8)*(x+2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+33/8 )

x+33/8 = 0 // - 33/8

x = -33/8

x in { -2}

x = -33/8

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