((7)/(4w+25)+1)=((-1)/(w+6))

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Solution for ((7)/(4w+25)+1)=((-1)/(w+6)) equation: 


D( w )

w+6 = 0

4*w+25 = 0

w+6 = 0

w+6 = 0

w+6 = 0 // - 6

w = -6

4*w+25 = 0

4*w+25 = 0

4*w+25 = 0 // - 25

4*w = -25 // : 4

w = -25/4

w in (-oo:-25/4) U (-25/4:-6) U (-6:+oo)

7/(4*w+25)+1 = -1/(w+6) // + -1/(w+6)

7/(4*w+25)-(-1/(w+6))+1 = 0

7/(4*w+25)+(w+6)^-1+1 = 0

7/(4*w+25)+1/(w+6)+1 = 0

(7*(w+6))/((4*w+25)*(w+6))+(4*w+25)/((4*w+25)*(w+6))+(1*(4*w+25)*(w+6))/((4*w+25)*(w+6)) = 0

7*(w+6)+1*(4*w+25)*(w+6)+4*w+25 = 0

4*w^2+11*w+49*w+67+150 = 0

4*w^2+60*w+217 = 0

4*w^2+60*w+217 = 0

4*w^2+60*w+217 = 0

DELTA = 60^2-(4*4*217)

DELTA = 128

DELTA > 0

w = (128^(1/2)-60)/(2*4) or w = (-128^(1/2)-60)/(2*4)

w = (8*2^(1/2)-60)/8 or w = (-8*2^(1/2)-60)/8

(w-((-8*2^(1/2)-60)/8))*(w-((8*2^(1/2)-60)/8)) = 0

((w-((-8*2^(1/2)-60)/8))*(w-((8*2^(1/2)-60)/8)))/((4*w+25)*(w+6)) = 0

((w-((-8*2^(1/2)-60)/8))*(w-((8*2^(1/2)-60)/8)))/((4*w+25)*(w+6)) = 0 // * (4*w+25)*(w+6)

(w-((-8*2^(1/2)-60)/8))*(w-((8*2^(1/2)-60)/8)) = 0

( w-((-8*2^(1/2)-60)/8) )

w-((-8*2^(1/2)-60)/8) = 0 // + (-8*2^(1/2)-60)/8

w = (-8*2^(1/2)-60)/8

( w-((8*2^(1/2)-60)/8) )

w-((8*2^(1/2)-60)/8) = 0 // + (8*2^(1/2)-60)/8

w = (8*2^(1/2)-60)/8

w in { (-8*2^(1/2)-60)/8, (8*2^(1/2)-60)/8 }

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