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D( x )
6*x+6 = 0
6*x+6 = 0
6*x+6 = 0
6*x+6 = 0 // - 6
6*x = -6 // : 6
x = -6/6
x = -1
x in (-oo:-1) U (-1:+oo)
(6*x^3-(42*x)-36)/(6*x+6) = 0
(6*x^3-42*x-36)/(6*x+6) = 0
6*x^3-42*x-36 = 0
6*(x^3-7*x-6) = 0
x^3-7*x-6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
x^3-7*x-6 = -12
1
-1
x = -1
x^3-7*x-6 = 0
-1
x+1
x^2-x-6
x^3-7*x-6
x+1
-x^3-x^2
-x^2-7*x-6
x^2+x
-6*x-6
6*x+6
0
x^2-x-6 = 0
DELTA = (-1)^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)
x = 3 or x = -2
x in { -2, 3, -1}
6*(x+2)*(x-3)*(x+1) = 0
(6*(x+2)*(x-3)*(x+1))/(6*x+6) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+2 )
x+2 = 0 // - 2
x = -2
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1}
x in { -2, 3 }
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