(7/s-8)=-3/5s+3

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Solution for (7/s-8)=-3/5s+3 equation: 


D( s )

s = 0

s = 0

s = 0

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

7/s-8 = (-3/5)*s+3 // - (-3/5)*s+3

7/s-((-3/5)*s)-8-3 = 0

(3/5)*s+7/s-8-3 = 0

3/5*s^1+7*s^-1-11*s^0 = 0

(3/5*s^2-11*s^1+7*s^0)/(s^1) = 0 // * s^2

s^1*(3/5*s^2-11*s^1+7*s^0) = 0

s^1

(3/5)*s^2-11*s+7 = 0

(3/5)*s^2-11*s+7 = 0

DELTA = (-11)^2-(4*7*(3/5))

DELTA = 521/5

DELTA > 0

s = ((521/5)^(1/2)+11)/(2*(3/5)) or s = (11-(521/5)^(1/2))/(2*(3/5))

s = 5/6*((521/5)^(1/2)+11) or s = 5/6*(11-(521/5)^(1/2))

s in { 5/6*(11-(521/5)^(1/2)), 5/6*((521/5)^(1/2)+11)} 

s in { 5/6*(11-(521/5)^(1/2)), 5/6*((521/5)^(1/2)+11) }

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