(w-1)/(w+1)=(w+6)/(w+7)+1

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Solution for (w-1)/(w+1)=(w+6)/(w+7)+1 equation:


D( w )

w+1 = 0

w+7 = 0

w+1 = 0

w+1 = 0

w+1 = 0 // - 1

w = -1

w+7 = 0

w+7 = 0

w+7 = 0 // - 7

w = -7

w in (-oo:-7) U (-7:-1) U (-1:+oo)

(w-1)/(w+1) = (w+6)/(w+7)+1 // - (w+6)/(w+7)+1

(w-1)/(w+1)-((w+6)/(w+7))-1 = 0

(w-1)/(w+1)+(-1*(w+6))/(w+7)-1 = 0

((w-1)*(w+7))/((w+1)*(w+7))+(-1*(w+6)*(w+1))/((w+1)*(w+7))+(-1*(w+1)*(w+7))/((w+1)*(w+7)) = 0

(w-1)*(w+7)-1*(w+6)*(w+1)-1*(w+1)*(w+7) = 0

-w^2-w-8*w-13-7 = 0

-w^2-9*w-20 = 0

-w^2-9*w-20 = 0

-1*(w^2+9*w+20) = 0

w^2+9*w+20 = 0

DELTA = 9^2-(1*4*20)

DELTA = 1

DELTA > 0

w = (1^(1/2)-9)/(1*2) or w = (-1^(1/2)-9)/(1*2)

w = -4 or w = -5

-1*(w+5)*(w+4) = 0

(-1*(w+5)*(w+4))/((w+1)*(w+7)) = 0

(-1*(w+5)*(w+4))/((w+1)*(w+7)) = 0 // * (w+1)*(w+7)

-1*(w+5)*(w+4) = 0

( w+4 )

w+4 = 0 // - 4

w = -4

( w+5 )

w+5 = 0 // - 5

w = -5

w in { -4, -5 }

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