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D( x )
x+4 = 0
2*x+8 = 0
3*x+12 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
2*x+8 = 0
2*x+8 = 0
2*x+8 = 0 // - 8
2*x = -8 // : 2
x = -8/2
x = -4
3*x+12 = 0
3*x+12 = 0
3*x+12 = 0 // - 12
3*x = -12 // : 3
x = -12/3
x = -4
x in (-oo:-4) U (-4:+oo)
5/(x+4)-((6*x)/(3*x+12))+7/(2*x+8) = 0
5/(x+4)-6*x*(3*x+12)^-1+7/(2*x+8) = 0
5/(x+4)+(-6*x)/(3*x+12)+7/(2*x+8) = 0
(5*(3*x+12)*(2*x+8))/((x+4)*(3*x+12)*(2*x+8))+(-6*x*(x+4)*(2*x+8))/((x+4)*(3*x+12)*(2*x+8))+(7*(x+4)*(3*x+12))/((x+4)*(3*x+12)*(2*x+8)) = 0
5*(3*x+12)*(2*x+8)-6*x*(x+4)*(2*x+8)+7*(x+4)*(3*x+12) = 0
21*x^2-12*x^3-66*x^2+48*x+168*x+336+480 = 0
216*x-12*x^3-45*x^2+816 = 0
216*x-12*x^3-45*x^2+816 = 0
3*(72*x-4*x^3-15*x^2+272) = 0
72*x-4*x^3-15*x^2+272 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 17, -17, 34, -34, 68, -68, 136, -136, 272, -272 }
1
x = 1
72*x-4*x^3-15*x^2+272 = 325
1
-1
x = -1
72*x-4*x^3-15*x^2+272 = 189
-1
2
x = 2
72*x-4*x^3-15*x^2+272 = 324
2
-2
x = -2
72*x-4*x^3-15*x^2+272 = 100
-2
4
x = 4
72*x-4*x^3-15*x^2+272 = 64
4
-4
x = -4
72*x-4*x^3-15*x^2+272 = 0
-4
x+4
x-4*x^2+68
72*x-4*x^3-15*x^2+272
x+4
4*x^3+16*x^2
x^2+72*x+272
-x^2-4*x
68*x+272
-68*x-272
0
x-4*x^2+68 = 0
DELTA = 1^2-(-4*4*68)
DELTA = 1089
DELTA > 0
x = (1089^(1/2)-1)/(-4*2) or x = (-1089^(1/2)-1)/(-4*2)
x = -4 or x = 17/4
x in { -4, 17/4, -4}
3*(x+4)^2*(x-17/4) = 0
(3*(x+4)^2*(x-17/4))/((x+4)*(3*x+12)*(2*x+8)) = 0
(3*(x+4)^2*(x-17/4))/((x+4)*(3*x+12)*(2*x+8)) = 0 // * (x+4)*(3*x+12)*(2*x+8)
3*(x+4)^2*(x-17/4) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-17/4 )
x-17/4 = 0 // + 17/4
x = 17/4
x in { -4}
x = 17/4
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