(w+6)/(w+4)=(w+5)/(w+7)+1

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Solution for (w+6)/(w+4)=(w+5)/(w+7)+1 equation:


D( w )

w+7 = 0

w+4 = 0

w+7 = 0

w+7 = 0

w+7 = 0 // - 7

w = -7

w+4 = 0

w+4 = 0

w+4 = 0 // - 4

w = -4

w in (-oo:-7) U (-7:-4) U (-4:+oo)

(w+6)/(w+4) = (w+5)/(w+7)+1 // - (w+5)/(w+7)+1

(w+6)/(w+4)-((w+5)/(w+7))-1 = 0

(w+6)/(w+4)+(-1*(w+5))/(w+7)-1 = 0

((w+6)*(w+7))/((w+4)*(w+7))+(-1*(w+5)*(w+4))/((w+4)*(w+7))+(-1*(w+4)*(w+7))/((w+4)*(w+7)) = 0

(w+6)*(w+7)-1*(w+5)*(w+4)-1*(w+4)*(w+7) = 0

4*w-w^2-11*w-28+22 = 0

-w^2-7*w-6 = 0

-w^2-7*w-6 = 0

-1*(w^2+7*w+6) = 0

w^2+7*w+6 = 0

DELTA = 7^2-(1*4*6)

DELTA = 25

DELTA > 0

w = (25^(1/2)-7)/(1*2) or w = (-25^(1/2)-7)/(1*2)

w = -1 or w = -6

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

(-1*(w+6)*(w+1))/((w+4)*(w+7)) = 0

(-1*(w+6)*(w+1))/((w+4)*(w+7)) = 0 // * (w+4)*(w+7)

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

( w+1 )

w+1 = 0 // - 1

w = -1

( w+6 )

w+6 = 0 // - 6

w = -6

w in { -1, -6 }

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