(w-7)/(w-1)=(w+4)/(w+3)+1

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Solution for (w-7)/(w-1)=(w+4)/(w+3)+1 equation:


D( w )

w+3 = 0

w-1 = 0

w+3 = 0

w+3 = 0

w+3 = 0 // - 3

w = -3

w-1 = 0

w-1 = 0

w-1 = 0 // + 1

w = 1

w in (-oo:-3) U (-3:1) U (1:+oo)

(w-7)/(w-1) = (w+4)/(w+3)+1 // - (w+4)/(w+3)+1

(w-7)/(w-1)-((w+4)/(w+3))-1 = 0

(w-7)/(w-1)+(-1*(w+4))/(w+3)-1 = 0

((w-7)*(w+3))/((w-1)*(w+3))+(-1*(w+4)*(w-1))/((w-1)*(w+3))+(-1*(w-1)*(w+3))/((w-1)*(w+3)) = 0

(w-7)*(w+3)-1*(w+4)*(w-1)-1*(w-1)*(w+3) = 0

3-w^2-7*w-2*w-17 = 0

-w^2-9*w-14 = 0

-w^2-9*w-14 = 0

-1*(w^2+9*w+14) = 0

w^2+9*w+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

w = (25^(1/2)-9)/(1*2) or w = (-25^(1/2)-9)/(1*2)

w = -2 or w = -7

-1*(w+7)*(w+2) = 0

(-1*(w+7)*(w+2))/((w-1)*(w+3)) = 0

(-1*(w+7)*(w+2))/((w-1)*(w+3)) = 0 // * (w-1)*(w+3)

-1*(w+7)*(w+2) = 0

( w+2 )

w+2 = 0 // - 2

w = -2

( w+7 )

w+7 = 0 // - 7

w = -7

w in { -2, -7 }

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