(a^3-2a^2-3a)/(a-3)

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Solution for (a^3-2a^2-3a)/(a-3) equation: 


D( a )

a-3 = 0

a-3 = 0

a-3 = 0

a-3 = 0 // + 3

a = 3

a in (-oo:3) U (3:+oo)

(a^3-(2*a^2)-(3*a))/(a-3) = 0

(a^3-2*a^2-3*a)/(a-3) = 0

a^3-2*a^2-3*a = 0

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

a^2-2*a-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

a = (16^(1/2)+2)/(1*2) or a = (2-16^(1/2))/(1*2)

a = 3 or a = -1

a*(a+1)*(a-3) = 0

a*(a+1) = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a )

a = 0

a in { -1, 0 }

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