(3x-3)/x*(3x^2)/6x-6

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

3*x*x^2*(3*x-3)-6*6*x = 0

9*x^4-9*x^3-36*x = 0

9*x^4-9*x^3-36*x = 0

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

x^3-x^2-4 = 0

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

1

x = 1

x^3-x^2-4 = -4

1

-1

x = -1

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

-1

2

x = 2

x^3-x^2-4 = 0

2

x-2

x^2+x+2

x^3-x^2-4

x-2

2*x^2-x^3

x^2-4

2*x-x^2

2*x-4

4-2*x

0

x^2+x+2 = 0

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

DELTA = -7

DELTA < 0

x in { 2}

9*x*(x-2) = 0

(9*x*(x-2))/(6*x) = 0

(9*x*(x-2))/(6*x) = 0 // * 6*x

9*x*(x-2) = 0

( 9*x )

9*x = 0 // : 9

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 0}

x = 2

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