x/(x+8)=3/2

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


D( x )

x+8 = 0

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

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

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

x/(x+8)-(3/2) = 0

x/(x+8)-3/2 = 0

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

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

-x-24 = 0

(-x-24)/(2*(x+8)) = 0

(-x-24)/(2*(x+8)) = 0 // * 2*(x+8)

-x-24 = 0

-x-24 = 0 // + 24

-x = 24 // * -1

x = -24

x = -24

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