(8)/(x+1)-(5/2)=(8)/(3x+3)

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Solution for (8)/(x+1)-(5/2)=(8)/(3x+3) equation: 


D( x )

3*x+3 = 0

x+1 = 0

3*x+3 = 0

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

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

8/(x+1)-(5/2) = 8/(3*x+3) // - 8/(3*x+3)

8/(x+1)-(8/(3*x+3))-(5/2) = 0

8/(x+1)-8*(3*x+3)^-1-5/2 = 0

8/(x+1)-8/(3*x+3)-5/2 = 0

(2*8*(3*x+3))/(2*(x+1)*(3*x+3))+(-8*2*(x+1))/(2*(x+1)*(3*x+3))+(-5*(x+1)*(3*x+3))/(2*(x+1)*(3*x+3)) = 0

2*8*(3*x+3)-8*2*(x+1)-5*(x+1)*(3*x+3) = 0

32*x-15*x^2-30*x-15+32 = 0

2*x-15*x^2+17 = 0

2*x-15*x^2+17 = 0

2*x-15*x^2+17 = 0

DELTA = 2^2-(-15*4*17)

DELTA = 1024

DELTA > 0

x = (1024^(1/2)-2)/(-15*2) or x = (-1024^(1/2)-2)/(-15*2)

x = -1 or x = 17/15

(x+1)*(x-17/15) = 0

((x+1)*(x-17/15))/(2*(x+1)*(3*x+3)) = 0

((x+1)*(x-17/15))/(2*(x+1)*(3*x+3)) = 0 // * 2*(x+1)*(3*x+3)

(x+1)*(x-17/15) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-17/15 )

x-17/15 = 0 // + 17/15

x = 17/15

x in { -1} 

x = 17/15

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