(2x^4+3x^3-15x^2-32x-12)/(x+2)

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Solution for (2x^4+3x^3-15x^2-32x-12)/(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^4+3*x^3-(15*x^2)-(32*x)-12)/(x+2) = 0

(2*x^4+3*x^3-15*x^2-32*x-12)/(x+2) = 0

2*x^4+3*x^3-15*x^2-32*x-12 = 0

2*x^4+3*x^3-15*x^2-32*x-12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

2*x^4+3*x^3-15*x^2-32*x-12 = -54

1

-1

x = -1

2*x^4+3*x^3-15*x^2-32*x-12 = 4

-1

2

x = 2

2*x^4+3*x^3-15*x^2-32*x-12 = -80

2

-2

x = -2

2*x^4+3*x^3-15*x^2-32*x-12 = 0

-2

x+2

2*x^3-x^2-13*x-6

2*x^4+3*x^3-15*x^2-32*x-12

x+2

-2*x^4-4*x^3

-x^3-15*x^2-32*x-12

x^3+2*x^2

-13*x^2-32*x-12

13*x^2+26*x

-6*x-12

6*x+12

0

2*x^3-x^2-13*x-6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

x = 1

2*x^3-x^2-13*x-6 = -18

1

-1

x = -1

2*x^3-x^2-13*x-6 = 4

-1

2

x = 2

2*x^3-x^2-13*x-6 = -20

2

-2

x = -2

2*x^3-x^2-13*x-6 = 0

-2

x+2

2*x^2-5*x-3

2*x^3-x^2-13*x-6

x+2

-2*x^3-4*x^2

-5*x^2-13*x-6

5*x^2+10*x

-3*x-6

3*x+6

0

2*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*2) or x = (5-49^(1/2))/(2*2)

x = 3 or x = -1/2

x in { -1/2, 3, -2, -2}

(x+1/2)*(x-3)*(x+2)^2 = 0

(x+1/2)*(x-3)*(x+2) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -2}

x in { -1/2, 3 }

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