(5x^3+7x^2-x-3)/(x+1)

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Solution for (5x^3+7x^2-x-3)/(x+1) equation: 


D( x )

x+1 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:+oo)

(5*x^3+7*x^2-x-3)/(x+1) = 0

5*x^3+7*x^2-x-3 = 0

5*x^3+7*x^2-x-3 = 0

{ 1, -1, 3, -3 }

1

x = 1

5*x^3+7*x^2-x-3 = 8

1

-1

x = -1

5*x^3+7*x^2-x-3 = 0

-1

x+1

5*x^2+2*x-3

5*x^3+7*x^2-x-3

x+1

-5*x^3-5*x^2

2*x^2-x-3

-2*x^2-2*x

-3*x-3

3*x+3

0

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

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

DELTA = 64

DELTA > 0

x = (64^(1/2)-2)/(2*5) or x = (-64^(1/2)-2)/(2*5)

x = 3/5 or x = -1

x in { -1, 3/5, -1} 

(x+1)^2*(x-3/5) = 0

(x+1)*(x-3/5) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-3/5 )

x-3/5 = 0 // + 3/5

x = 3/5

x in { -1} 

x = 3/5

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