(x^3+6x^2)/(x^2+2x-24)

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Solution for (x^3+6x^2)/(x^2+2x-24) equation: 


D( x )

x^2+2*x-24 = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-2)/(1*2) or x = (-100^(1/2)-2)/(1*2)

x = 4 or x = -6

x in (-oo:-6) U (-6:4) U (4:+oo)

(x^3+6*x^2)/(x^2+2*x-24) = 0

x^3+6*x^2 = 0

x^2*(x+6) = 0

x+6 = 0 // - 6

x = -6

x^2*(x+6) = 0

x^2+2*x-24 = 0

x^2+2*x-24 = 0

DELTA = 2^2-(-24*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-2)/(1*2) or x = (-100^(1/2)-2)/(1*2)

x = 4 or x = -6

(x+6)*(x-4) = 0

(x^2*(x+6))/((x+6)*(x-4)) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -6} 

x = 0

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