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

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


D( w )

w+3 = 0

w+7 = 0

w+3 = 0

w+3 = 0

w+3 = 0 // - 3

w = -3

w+7 = 0

w+7 = 0

w+7 = 0 // - 7

w = -7

w in (-oo:-7) U (-7:-3) U (-3:+oo)

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

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

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

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

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

10*w-w^2-10*w-21+46 = 0

25-w^2 = 0

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

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

25-w^2 = 0

-1*w^2 = -25 // : -1

w^2 = 25

w^2 = 25 // ^ 1/2

abs(w) = 5

w = 5 or w = -5

w in { 5, -5 }

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