7s/(10s+10)+(1/3s)

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Solution for 7s/(10s+10)+(1/3s) equation:


D( s )

10*s+10 = 0

10*s+10 = 0

10*s+10 = 0

10*s+10 = 0 // - 10

10*s = -10 // : 10

s = -10/10

s = -1

s in (-oo:-1) U (-1:+oo)

(7*s)/(10*s+10)+(1/3)*s = 0

(7*s)/(10*s+10)+s/3 = 0

(3*7*s)/(3*(10*s+10))+(s*(10*s+10))/(3*(10*s+10)) = 0

s*(10*s+10)+3*7*s = 0

10*s^2+31*s = 0

10*s^2+31*s = 0

s*(10*s+31) = 0

10*s+31 = 0 // - 31

10*s = -31 // : 10

s = -31/10

s*(s+31/10) = 0

(s*(s+31/10))/(3*(10*s+10)) = 0

(s*(s+31/10))/(3*(10*s+10)) = 0 // * 3*(10*s+10)

s*(s+31/10) = 0

( s+31/10 )

s+31/10 = 0 // - 31/10

s = -31/10

( s )

s = 0

s in { -31/10, 0 }

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