(3/2w+12)+4=-(4/w+6)

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Solution for (3/2w+12)+4=-(4/w+6) equation:


D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

(3/2)*w+4+12 = -(4/w+6) // + 4/w+6

(3/2)*w+4/w+4+6+12 = 0

3/2*w^1+4*w^-1+22*w^0 = 0

(3/2*w^2+22*w^1+4*w^0)/(w^1) = 0 // * w^2

w^1*(3/2*w^2+22*w^1+4*w^0) = 0

w^1

(3/2)*w^2+22*w+4 = 0

(3/2)*w^2+22*w+4 = 0

DELTA = 22^2-(4*4*(3/2))

DELTA = 460

DELTA > 0

w = (460^(1/2)-22)/(2*(3/2)) or w = (-460^(1/2)-22)/(2*(3/2))

w = (2*115^(1/2)-22)/3 or w = (-2*115^(1/2)-22)/3

w in { (-2*115^(1/2)-22)/3, (2*115^(1/2)-22)/3}

w in { (-2*115^(1/2)-22)/3, (2*115^(1/2)-22)/3 }

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