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D( x )
(x-2.5)*(x+2.5) = 0
(x-2.5)*(x+2.5) = 0
(x-2.5)*(x+2.5) = 0
( x+2.5 )
x+2.5 = 0 // - 2.5
x = -2.5
( x-2.5 )
x-2.5 = 0 // + 2.5
x = 2.5
x in (-oo:-2.5) U (-2.5:2.5) U (2.5:+oo)
(29*x+19*x-72.5+47.5)/((x-2.5)*(x+2.5)) = 4 // - 4
(29*x+19*x-72.5+47.5)/((x-2.5)*(x+2.5))-4 = 0
(48*x-25)/((x-2.5)*(x+2.5))-4 = 0
(48*x-25)/((x-2.5)*(x+2.5))+(-4*(x-2.5)*(x+2.5))/((x-2.5)*(x+2.5)) = 0
48*x-4*(x-2.5)*(x+2.5)-25 = 0
48*x-4*x^2 = 0
48*x-4*x^2 = 0
4*x*(12-x) = 0
12-x = 0 // - 12
-x = -12 // * -1
x = 12
4*x*(x-12) = 0
(4*x*(x-12))/((x-2.5)*(x+2.5)) = 0
(4*x*(x-12))/((x-2.5)*(x+2.5)) = 0 // * (x-2.5)*(x+2.5)
4*x*(x-12) = 0
( 4*x )
4*x = 0 // : 4
x = 0
( x-12 )
x-12 = 0 // + 12
x = 12
x in { 0, 12 }
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