(3q^3-6q)/3q

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


q in (-oo:+oo)

q*((3*q^3-(6*q))/3) = 0

q*((3*q^3-6*q)/3) = 0

(q*(3*q^3-6*q))/3 = 0

3*q^3-6*q = 0

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

1*q^2 = 2 // : 1

q^2 = 2

q^2 = 2 // ^ 1/2

abs(q) = 2^(1/2)

q = 2^(1/2) or q = -2^(1/2)

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

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

( 3*q )

3*q = 0 // : 3

q = 0

( q+2^(1/2) )

q+2^(1/2) = 0 // - 2^(1/2)

q = -2^(1/2)

( q-2^(1/2) )

q-2^(1/2) = 0 // + 2^(1/2)

q = 2^(1/2)

( q )

q = 0

q in { 0, -2^(1/2), 2^(1/2), 0 }

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