(x^3+2x^2-120x)/(x+12)

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Solution for (x^3+2x^2-120x)/(x+12) equation: 


D( x )

x+12 = 0

x+12 = 0

x+12 = 0

x+12 = 0 // - 12

x = -12

x in (-oo:-12) U (-12:+oo)

(x^3+2*x^2-(120*x))/(x+12) = 0

(x^3+2*x^2-120*x)/(x+12) = 0

x^3+2*x^2-120*x = 0

x*(x^2+2*x-120) = 0

x^2+2*x-120 = 0

DELTA = 2^2-(-120*1*4)

DELTA = 484

DELTA > 0

x = (484^(1/2)-2)/(1*2) or x = (-484^(1/2)-2)/(1*2)

x = 10 or x = -12

x*(x+12)*(x-10) = 0

x*(x-10) = 0

( x-10 )

x-10 = 0 // + 10

x = 10

( x )

x = 0

x in { 10, 0 }

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