(3x+4)/(x+6)=5/2

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Solution for (3x+4)/(x+6)=5/2 equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(3*x+4)/(x+6) = 5/2 // - 5/2

(3*x+4)/(x+6)-(5/2) = 0

(3*x+4)/(x+6)-5/2 = 0

(2*(3*x+4))/(2*(x+6))+(-5*(x+6))/(2*(x+6)) = 0

2*(3*x+4)-5*(x+6) = 0

x-22 = 0

(x-22)/(2*(x+6)) = 0

(x-22)/(2*(x+6)) = 0 // * 2*(x+6)

x-22 = 0

x-22 = 0 // + 22

x = 22

x = 22

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