(7/x+2)-1=(5x+18)/(x+2)

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Solution for (7/x+2)-1=(5x+18)/(x+2) equation:


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

7/x-1+2 = (5*x+18)/(x+2) // - (5*x+18)/(x+2)

7/x-((5*x+18)/(x+2))-1+2 = 0

(-1*(5*x+18))/(x+2)+7/x-1+2 = 0

(-1*x*(5*x+18))/(x*(x+2))+(7*(x+2))/(x*(x+2))+(-1*x*(x+2))/(x*(x+2))+(2*x*(x+2))/(x*(x+2)) = 0

7*(x+2)-1*x*(5*x+18)-1*x*(x+2)+2*x*(x+2) = 0

2*x^2-5*x^2-x^2-11*x-2*x+4*x+14 = 0

2*x^2-6*x^2-13*x+4*x+14 = 0

14-4*x^2-9*x = 0

14-4*x^2-9*x = 0

14-4*x^2-9*x = 0

DELTA = (-9)^2-(-4*4*14)

DELTA = 305

DELTA > 0

x = (305^(1/2)+9)/(-4*2) or x = (9-305^(1/2))/(-4*2)

x = (305^(1/2)+9)/(-8) or x = (9-305^(1/2))/(-8)

(x-((305^(1/2)+9)/(-8)))*(x-((9-305^(1/2))/(-8))) = 0

((x-((305^(1/2)+9)/(-8)))*(x-((9-305^(1/2))/(-8))))/(x*(x+2)) = 0

((x-((305^(1/2)+9)/(-8)))*(x-((9-305^(1/2))/(-8))))/(x*(x+2)) = 0 // * x*(x+2)

(x-((305^(1/2)+9)/(-8)))*(x-((9-305^(1/2))/(-8))) = 0

( x-((305^(1/2)+9)/(-8)) )

x-((305^(1/2)+9)/(-8)) = 0 // + (305^(1/2)+9)/(-8)

x = (305^(1/2)+9)/(-8)

( x-((9-305^(1/2))/(-8)) )

x-((9-305^(1/2))/(-8)) = 0 // + (9-305^(1/2))/(-8)

x = (9-305^(1/2))/(-8)

x in { (305^(1/2)+9)/(-8), (9-305^(1/2))/(-8) }

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