-2x-1=-(10/(x+1))

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Solution for -2x-1=-(10/(x+1)) equation:


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

-2*x-1 = -(10/(x+1)) // + 10/(x+1)

10/(x+1)-2*x-1 = 0

10/(x+1)+(-2*x*(x+1))/(x+1)+(-1*(x+1))/(x+1) = 0

10-2*x*(x+1)-1*(x+1) = 0

10-2*x^2-2*x-x-1 = 0

9-2*x^2-3*x = 0

9-2*x^2-3*x = 0

9-2*x^2-3*x = 0

DELTA = (-3)^2-(-2*4*9)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(-2*2) or x = (3-81^(1/2))/(-2*2)

x = -3 or x = 3/2

(x+3)*(x-3/2) = 0

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

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

(x+3)*(x-3/2) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-3/2 )

x-3/2 = 0 // + 3/2

x = 3/2

x in { -3, 3/2 }

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