x^3+x^2-8x-12=0
x^3+4x^2-3x^2+4x-12x-12=0
x(x^2+4x+4)-3(x^2+4x+4)=0
(x-3)(x^2+4x+4)=0
(x-3)(x+2)^2=0
x=3
x=-2
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x^3+x^2-8x-12=0
x^3+4x^2-3x^2+4x-12x-12=0
x(x^2+4x+4)-3(x^2+4x+4)=0
(x-3)(x^2+4x+4)=0
(x-3)(x+2)^2=0
x=3
x=-2