(2x^3+6x^2-8)/(x+2)

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Solution for (2x^3+6x^2-8)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

(2*x^3+6*x^2-8)/(x+2) = 0

2*x^3+6*x^2-8 = 0

2*(x^3+3*x^2-4) = 0

x^3+3*x^2-4 = 0

{ 1, -1, 2, -2, 4, -4 }

1

x = 1

x^3+3*x^2-4 = 0

1

x-1

x^2+4*x+4

x^3+3*x^2-4

x-1

x^2-x^3

4*x^2-4

4*x-4*x^2

4*x-4

4-4*x

0

x^2+4*x+4 = 0

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

DELTA = 0

x = -4/(1*2)

x = -2 or x = -2

x in { -2, -2, 1} 

2*(x+2)^2*(x-1) = 0

2*(x+2)*(x-1) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -2} 

x = 1

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