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D( x )
x^2-16 = 0
2*x-8 = 0
8*x+32 = 0
x^2-16 = 0
x^2-16 = 0
1*x^2 = 16 // : 1
x^2 = 16
x^2 = 16 // ^ 1/2
abs(x) = 4
x = 4 or x = -4
2*x-8 = 0
2*x-8 = 0
2*x-8 = 0 // + 8
2*x = 8 // : 2
x = 8/2
x = 4
8*x+32 = 0
8*x+32 = 0
8*x+32 = 0 // - 32
8*x = -32 // : 8
x = -32/8
x = -4
x in (-oo:-4) U (-4:4) U (4:+oo)
(x+8)/(8*x+32)-((2*x-9)/(2*x-8))+(x^2-12)/(x^2-16) = 0
(x+8)/(8*x+32)+(-1*(2*x-9))/(2*x-8)+(x^2-12)/(x^2-16) = 0
((x+8)*(2*x-8)*(x^2-16))/((8*x+32)*(2*x-8)*(x^2-16))+(-1*(2*x-9)*(8*x+32)*(x^2-16))/((8*x+32)*(2*x-8)*(x^2-16))+((x^2-12)*(8*x+32)*(2*x-8))/((8*x+32)*(2*x-8)*(x^2-16)) = 0
(x+8)*(2*x-8)*(x^2-16)-1*(2*x-9)*(8*x+32)*(x^2-16)+(x^2-12)*(8*x+32)*(2*x-8) = 0
16*x^4-14*x^4+16*x^3+448*x^2-448*x^2-256*x-3584+3072 = 0
2*x^4+16*x^3-256*x-512 = 0
2*x^4+16*x^3-256*x-512 = 0
2*(x^4+8*x^3-128*x-256) = 0
x^4+8*x^3-128*x-256 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64, 128, -128, 256, -256 }
1
x = 1
x^4+8*x^3-128*x-256 = -375
1
-1
x = -1
x^4+8*x^3-128*x-256 = -135
-1
2
x = 2
x^4+8*x^3-128*x-256 = -432
2
-2
x = -2
x^4+8*x^3-128*x-256 = -48
-2
4
x = 4
x^4+8*x^3-128*x-256 = 0
4
x-4
x^3+12*x^2+48*x+64
x^4+8*x^3-128*x-256
x-4
4*x^3-x^4
12*x^3-128*x-256
48*x^2-12*x^3
48*x^2-128*x-256
192*x-48*x^2
64*x-256
256-64*x
0
x^3+12*x^2+48*x+64 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64 }
1
x = 1
x^3+12*x^2+48*x+64 = 125
1
-1
x = -1
x^3+12*x^2+48*x+64 = 27
-1
2
x = 2
x^3+12*x^2+48*x+64 = 216
2
-2
x = -2
x^3+12*x^2+48*x+64 = 8
-2
4
x = 4
x^3+12*x^2+48*x+64 = 512
4
-4
x = -4
x^3+12*x^2+48*x+64 = 0
-4
x+4
x^2+8*x+16
x^3+12*x^2+48*x+64
x+4
-x^3-4*x^2
8*x^2+48*x+64
-8*x^2-32*x
16*x+64
-16*x-64
0
x^2+8*x+16 = 0
DELTA = 8^2-(1*4*16)
DELTA = 0
x = -8/(1*2)
x = -4 or x = -4
x in { -4, -4, 4, -4}
2*(x+4)^3*(x-4) = 0
(2*(x+4)^3*(x-4))/((8*x+32)*(2*x-8)*(x^2-16)) = 0
(2*(x+4)^3*(x-4))/((8*x+32)*(2*x-8)*(x^2-16)) = 0 // * (8*x+32)*(2*x-8)*(x^2-16)
2*(x+4)^3*(x-4) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -4}
x in { 4}
x belongs to the empty set
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