(w+1)/(w+5)=(w-5)/(w+7)+1

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Solution for (w+1)/(w+5)=(w-5)/(w+7)+1 equation:


D( w )

w+5 = 0

w+7 = 0

w+5 = 0

w+5 = 0

w+5 = 0 // - 5

w = -5

w+7 = 0

w+7 = 0

w+7 = 0 // - 7

w = -7

w in (-oo:-7) U (-7:-5) U (-5:+oo)

(w+1)/(w+5) = (w-5)/(w+7)+1 // - (w-5)/(w+7)+1

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

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

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

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

8*w-w^2-12*w-35+32 = 0

-w^2-4*w-3 = 0

-w^2-4*w-3 = 0

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

w^2+4*w+3 = 0

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

DELTA = 4

DELTA > 0

w = (4^(1/2)-4)/(1*2) or w = (-4^(1/2)-4)/(1*2)

w = -1 or w = -3

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

(-1*(w+3)*(w+1))/((w+5)*(w+7)) = 0

(-1*(w+3)*(w+1))/((w+5)*(w+7)) = 0 // * (w+5)*(w+7)

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

( w+1 )

w+1 = 0 // - 1

w = -1

( w+3 )

w+3 = 0 // - 3

w = -3

w in { -1, -3 }

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