5/(x+2)+(3/(2(x+2)))=(1/(x+2))+22

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Solution for 5/(x+2)+(3/(2(x+2)))=(1/(x+2))+22 equation:


D( x )

x+2 = 0

2*(x+2) = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

2*(x+2) = 0

2*(x+2) = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

5/(x+2)+3/(2*(x+2)) = 1/(x+2)+22 // - 1/(x+2)+22

5/(x+2)+3/(2*(x+2))-(1/(x+2))-22 = 0

5/(x+2)+3/(2*(x+2))-(x+2)^-1-22 = 0

5/(x+2)+3/(2*(x+2))-1/(x+2)-22 = 0

(2*5)/(2*(x+2))+3/(2*(x+2))+(-1*2)/(2*(x+2))+(-22*2*(x+2))/(2*(x+2)) = 0

2*5-22*2*(x+2)-1*2+3 = 0

13-44*x-88-2 = 0

11-44*x-88 = 0

-44*x-77 = 0

(-44*x-77)/(2*(x+2)) = 0

(-44*x-77)/(2*(x+2)) = 0 // * 2*(x+2)

-44*x-77 = 0

-44*x-77 = 0 // + 77

-44*x = 77 // : -44

x = 77/(-44)

x = -7/4

x = -7/4

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