(3.36*78+4x)/(78+x)=3.5

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Solution for (3.36*78+4x)/(78+x)=3.5 equation: 


D( x )

x+78 = 0

x+78 = 0

x+78 = 0

x+78 = 0 // - 78

x = -78

x in (-oo:-78) U (-78:+oo)

(4*x+3.36*78)/(x+78) = 3.5 // - 3.5

(4*x+3.36*78)/(x+78)-3.5 = 0

(4*x+262.08)/(x+78)-3.5 = 0

(4*x+262.08)/(x+78)+(-3.5*(x+78))/(x+78) = 0

4*x-3.5*(x+78)+262.08 = 0

0.5*x-10.92 = 0

(0.5*x-10.92)/(x+78) = 0

(0.5*x-10.92)/(x+78) = 0 // * x+78

0.5*x-10.92 = 0

0.5*x-10.92 = 0 // + 10.92

0.5*x = 10.92 // : 0.5

x = 10.92/0.5

x = 21.84

x = 21.84

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