(1/3)-(s-2)/(2s+4)=((s+2)/(3s+6))

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Solution for (1/3)-(s-2)/(2s+4)=((s+2)/(3s+6)) equation:


D( s )

3*s+6 = 0

2*s+4 = 0

3*s+6 = 0

3*s+6 = 0

3*s+6 = 0 // - 6

3*s = -6 // : 3

s = -6/3

s = -2

2*s+4 = 0

2*s+4 = 0

2*s+4 = 0 // - 4

2*s = -4 // : 2

s = -4/2

s = -2

s in (-oo:-2) U (-2:+oo)

1/3-((s-2)/(2*s+4)) = (s+2)/(3*s+6) // - (s+2)/(3*s+6)

1/3-((s-2)/(2*s+4))-((s+2)/(3*s+6)) = 0

(-1*(s-2))/(2*s+4)+(-1*(s+2))/(3*s+6)+1/3 = 0

(-1*3*(s-2)*(3*s+6))/(3*(2*s+4)*(3*s+6))+(-1*3*(s+2)*(2*s+4))/(3*(2*s+4)*(3*s+6))+(1*(2*s+4)*(3*s+6))/(3*(2*s+4)*(3*s+6)) = 0

1*(2*s+4)*(3*s+6)-1*3*(s-2)*(3*s+6)-1*3*(s+2)*(2*s+4) = 0

6*s^2-15*s^2-24*s+24*s+12+24 = 0

36-9*s^2 = 0

(36-9*s^2)/(3*(2*s+4)*(3*s+6)) = 0

(36-9*s^2)/(3*(2*s+4)*(3*s+6)) = 0 // * 3*(2*s+4)*(3*s+6)

36-9*s^2 = 0

-9*s^2 = -36 // : -9

s^2 = 4

s^2 = 4 // ^ 1/2

abs(s) = 2

s = 2 or s = -2

s in { -2}

s = 2

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