1/(x+3.6)+1/(x+2.8)=1/(x+4.9)+1/(x+1.5)

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Solution for 1/(x+3.6)+1/(x+2.8)=1/(x+4.9)+1/(x+1.5) equation:


D( x )

x+1.5 = 0

x+3.6 = 0

x+4.9 = 0

x+2.8 = 0

x+1.5 = 0

x+1.5 = 0

x+1.5 = 0 // - 1.5

x = -1.5

x+3.6 = 0

x+3.6 = 0

x+3.6 = 0 // - 3.6

x = -3.6

x+4.9 = 0

x+4.9 = 0

x+4.9 = 0 // - 4.9

x = -4.9

x+2.8 = 0

x+2.8 = 0

x+2.8 = 0 // - 2.8

x = -2.8

x in (-oo:-4.9) U (-4.9:-3.6) U (-3.6:-2.8) U (-2.8:-1.5) U (-1.5:+oo)

1/(x+3.6)+1/(x+2.8) = 1/(x+4.9)+1/(x+1.5) // - 1/(x+4.9)+1/(x+1.5)

1/(x+3.6)+1/(x+2.8)-(1/(x+4.9))-(1/(x+1.5)) = 0

1/(x+3.6)+1/(x+2.8)-(x+4.9)^-1-(x+1.5)^-1 = 0

1/(x+3.6)+1/(x+2.8)-1/(x+4.9)-1/(x+1.5) = 0

(1*(x+2.8)*(x+4.9)*(x+1.5))/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5))+(1*(x+3.6)*(x+4.9)*(x+1.5))/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5))+(-1*(x+3.6)*(x+2.8)*(x+1.5))/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5))+(-1*(x+3.6)*(x+2.8)*(x+4.9))/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5)) = 0

1*(x+2.8)*(x+4.9)*(x+1.5)+1*(x+3.6)*(x+4.9)*(x+1.5)-1*(x+3.6)*(x+2.8)*(x+1.5)-1*(x+3.6)*(x+2.8)*(x+4.9) = 0

2*x^3-x^3-x^3+19.2*x^2-7.9*x^2-11.3*x^2+55.66*x-19.68*x-41.44*x-49.392-15.12+47.04 = 0

x^3-x^3+11.3*x^2-11.3*x^2+35.98*x-41.44*x-49.392+31.92 = 0

-5.46*x-17.472 = 0

(-5.46*x-17.472)/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5)) = 0

(-5.46*x-17.472)/((x+3.6)*(x+2.8)*(x+4.9)*(x+1.5)) = 0 // * (x+3.6)*(x+2.8)*(x+4.9)*(x+1.5)

-5.46*x-17.472 = 0

-5.46*x-17.472 = 0 // + 17.472

-5.46*x = 17.472 // : -5.46

x = 17.472/(-5.46)

x = -3.2

x = -3.2

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