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D( x )
x^2-16 = 0
4-x = 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
4-x = 0
4-x = 0
4-x = 0 // - 4
-x = -4 // * -1
x = 4
x in (-oo:-4) U (-4:4) U (4:+oo)
10-(60/(4-x)) = (10*x+20)/(x^2-16) // - (10*x+20)/(x^2-16)
10-(60/(4-x))-((10*x+20)/(x^2-16)) = 0
10-60*(4-x)^-1-((10*x+20)/(x^2-16)) = 0
(-1*(10*x+20))/(x^2-16)-60/(4-x)+10 = 0
(-60*(x^2-16))/((4-x)*(x^2-16))+(-1*(10*x+20)*(4-x))/((4-x)*(x^2-16))+(10*(4-x)*(x^2-16))/((4-x)*(x^2-16)) = 0
10*(4-x)*(x^2-16)-60*(x^2-16)-1*(10*x+20)*(4-x) = 0
40*x^2-10*x^3-50*x^2-20*x+160*x-640+880 = 0
140*x-10*x^3-10*x^2+240 = 0
140*x-10*x^3-10*x^2+240 = 0
10*(14*x-x^3-x^2+24) = 0
14*x-x^3-x^2+24 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }
1
x = 1
14*x-x^3-x^2+24 = 36
1
-1
x = -1
14*x-x^3-x^2+24 = 10
-1
2
x = 2
14*x-x^3-x^2+24 = 40
2
-2
x = -2
14*x-x^3-x^2+24 = 0
-2
x+2
x-x^2+12
14*x-x^3-x^2+24
x+2
x^3+2*x^2
x^2+14*x+24
-x^2-2*x
12*x+24
-12*x-24
0
x-x^2+12 = 0
DELTA = 1^2-(-1*4*12)
DELTA = 49
DELTA > 0
x = (49^(1/2)-1)/(-1*2) or x = (-49^(1/2)-1)/(-1*2)
x = -3 or x = 4
x in { -3, 4, -2}
10*(x+3)*(x-4)*(x+2) = 0
(10*(x+3)*(x-4)*(x+2))/((4-x)*(x^2-16)) = 0
(10*(x+3)*(x-4)*(x+2))/((4-x)*(x^2-16)) = 0 // * (4-x)*(x^2-16)
10*(x+3)*(x-4)*(x+2) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x+3 )
x+3 = 0 // - 3
x = -3
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 4}
x in { -2, -3 }
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