(q/q-3)-(6/q^2-2q-3)=1

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Solution for (q/q-3)-(6/q^2-2q-3)=1 equation: 


D( q )

q^2 = 0

q = 0

q^2 = 0

q^2 = 0

1*q^2 = 0 // : 1

q^2 = 0

q = 0

q = 0

q = 0

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

2*q-(6/(q^2))+q/q-3+3 = 1 // - 1

2*q-(6/(q^2))+q/q-3-1+3 = 0

2*q-6*q^-2+q/q-3-1+3 = 0

2*q-6*q^-2 = 0

2*q*(1-3*q^-3) = 0

-3*q^-3 = -1 // : -3

q^-3 = 1/3

-3 < 0

1/(q^3) = 1/3 // * q^3

1 = 1/3*q^3 // : 1/3

3 = q^3

q^3 = 3 // ^ 1/3

q = 3^(1/3)

2*q = 0

2*q = 0 // : 2

q = 0

q in { 0} 

q = 3^(1/3)

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