((3b^3-b^2-2b)/(b^2+2b-3))+((6b^2+4b)/(b^2-2b-15))

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Solution for ((3b^3-b^2-2b)/(b^2+2b-3))+((6b^2+4b)/(b^2-2b-15)) equation: 


D( b )

b^2-(2*b)-15 = 0

b^2+2*b-3 = 0

b^2-(2*b)-15 = 0

b^2-(2*b)-15 = 0

b^2-2*b-15 = 0

b^2-2*b-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

b = (64^(1/2)+2)/(1*2) or b = (2-64^(1/2))/(1*2)

b = 5 or b = -3

b^2+2*b-3 = 0

b^2+2*b-3 = 0

b^2+2*b-3 = 0

DELTA = 2^2-(-3*1*4)

DELTA = 16

DELTA > 0

b = (16^(1/2)-2)/(1*2) or b = (-16^(1/2)-2)/(1*2)

b = 1 or b = -3

b in (-oo:-3) U (-3:1) U (1:5) U (5:+oo)

(3*b^3-b^2-(2*b))/(b^2+2*b-3)+(6*b^2+4*b)/(b^2-(2*b)-15) = 0

(3*b^3-b^2-2*b)/(b^2+2*b-3)+(6*b^2+4*b)/(b^2-2*b-15) = 0

b^2+2*b-3 = 0

b^2+2*b-3 = 0

b^2+2*b-3 = 0

DELTA = 2^2-(-3*1*4)

DELTA = 16

DELTA > 0

b = (16^(1/2)-2)/(1*2) or b = (-16^(1/2)-2)/(1*2)

b = 1 or b = -3

(b+3)*(b-1) = 0

b^2-2*b-15 = 0

b^2-2*b-15 = 0

b^2-2*b-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

b = (64^(1/2)+2)/(1*2) or b = (2-64^(1/2))/(1*2)

b = 5 or b = -3

(b+3)*(b-5) = 0

(3*b^3-b^2-2*b)/((b+3)*(b-1))+(6*b^2+4*b)/((b+3)*(b-5)) = 0

(3*b^3-b^2-2*b)/((b+3)*(b-1))+((6*b^2+4*b)*(b-1))/((b+3)*(b-1)) = 0

(6*b^2+4*b)*(b-1)+3*b^3-b^2-2*b = 0

9*b^3-3*b^2-6*b = 0

9*b^3-3*b^2-6*b = 0

3*b*(3*b^2-b-2) = 0

3*b^2-b-2 = 0

DELTA = (-1)^2-(-2*3*4)

DELTA = 25

DELTA > 0

b = (25^(1/2)+1)/(2*3) or b = (1-25^(1/2))/(2*3)

b = 1 or b = -2/3

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

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

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

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

( 3*b )

3*b = 0 // : 3

b = 0

( b+2/3 )

b+2/3 = 0 // - 2/3

b = -2/3

( b-1 )

b-1 = 0 // + 1

b = 1

b in { 1} 

b in { 0, -2/3 }

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