((6/(x+8))/(x+3))=8

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Solution for ((6/(x+8))/(x+3))=8 equation: 


D( x )

x+3 = 0

x+8 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:-3) U (-3:+oo)

(6/(x+8))/(x+3) = 8 // - 8

(6/(x+8))/(x+3)-8 = 0

6/((x+8)*(x+3))-8 = 0

6/((x+8)*(x+3))+(-8*(x+8)*(x+3))/((x+8)*(x+3)) = 0

6-8*(x+8)*(x+3) = 0

-8*x^2-88*x-186 = 0

-8*x^2-88*x-186 = 0

-2*(4*x^2+44*x+93) = 0

4*x^2+44*x+93 = 0

DELTA = 44^2-(4*4*93)

DELTA = 448

DELTA > 0

x = (448^(1/2)-44)/(2*4) or x = (-448^(1/2)-44)/(2*4)

x = (8*7^(1/2)-44)/8 or x = (-8*7^(1/2)-44)/8

-2*(x-((-8*7^(1/2)-44)/8))*(x-((8*7^(1/2)-44)/8)) = 0

(-2*(x-((-8*7^(1/2)-44)/8))*(x-((8*7^(1/2)-44)/8)))/((x+8)*(x+3)) = 0

(-2*(x-((-8*7^(1/2)-44)/8))*(x-((8*7^(1/2)-44)/8)))/((x+8)*(x+3)) = 0 // * (x+8)*(x+3)

-2*(x-((-8*7^(1/2)-44)/8))*(x-((8*7^(1/2)-44)/8)) = 0

( x-((-8*7^(1/2)-44)/8) )

x-((-8*7^(1/2)-44)/8) = 0 // + (-8*7^(1/2)-44)/8

x = (-8*7^(1/2)-44)/8

( x-((8*7^(1/2)-44)/8) )

x-((8*7^(1/2)-44)/8) = 0 // + (8*7^(1/2)-44)/8

x = (8*7^(1/2)-44)/8

x in { (-8*7^(1/2)-44)/8, (8*7^(1/2)-44)/8 }

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