-(18/(w^2+7w-8))=-((3w)/(w+8))

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Solution for -(18/(w^2+7w-8))=-((3w)/(w+8)) equation:


D( w )

w^2+7*w-8 = 0

w+8 = 0

w^2+7*w-8 = 0

w^2+7*w-8 = 0

w^2+7*w-8 = 0

DELTA = 7^2-(-8*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)-7)/(1*2) or w = (-81^(1/2)-7)/(1*2)

w = 1 or w = -8

w+8 = 0

w+8 = 0

w+8 = 0 // - 8

w = -8

w in (-oo:-8) U (-8:1) U (1:+oo)

-(18/(w^2+7*w-8)) = -((3*w)/(w+8)) // + (3*w)/(w+8)

(3*w)/(w+8)-(18/(w^2+7*w-8)) = 0

(3*w)/(w+8)-18*(w^2+7*w-8)^-1 = 0

(3*w)/(w+8)-18/(w^2+7*w-8) = 0

w^2+7*w-8 = 0

w^2+7*w-8 = 0

w^2+7*w-8 = 0

DELTA = 7^2-(-8*1*4)

DELTA = 81

DELTA > 0

w = (81^(1/2)-7)/(1*2) or w = (-81^(1/2)-7)/(1*2)

w = 1 or w = -8

(w+8)*(w-1) = 0

(3*w)/(w+8)-18/((w+8)*(w-1)) = 0

(3*w*(w-1))/((w+8)*(w-1))-18/((w+8)*(w-1)) = 0

3*w*(w-1)-18 = 0

3*w^2-3*w-18 = 0

3*w^2-3*w-18 = 0

3*(w^2-w-6) = 0

w^2-w-6 = 0

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

DELTA = 25

DELTA > 0

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

w = 3 or w = -2

3*(w+2)*(w-3) = 0

(3*(w+2)*(w-3))/((w+8)*(w-1)) = 0

(3*(w+2)*(w-3))/((w+8)*(w-1)) = 0 // * (w+8)*(w-1)

3*(w+2)*(w-3) = 0

( w+2 )

w+2 = 0 // - 2

w = -2

( w-3 )

w-3 = 0 // + 3

w = 3

w in { -2, 3 }

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