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D( x )
2*x+5 = 0
4*x^2-25 = 0
2*x+5 = 0
2*x+5 = 0
2*x+5 = 0 // - 5
2*x = -5 // : 2
x = -5/2
4*x^2-25 = 0
4*x^2-25 = 0
4*x^2 = 25 // : 4
x^2 = 25/4
x^2 = 25/4 // ^ 1/2
abs(x) = 5/2
x = 5/2 or x = -5/2
x in (-oo:-5/2) U (-5/2:5/2) U (5/2:+oo)
1/(4*x^2-25)+6/(2*x+5) = 0
(1*(2*x+5))/((4*x^2-25)*(2*x+5))+(6*(4*x^2-25))/((4*x^2-25)*(2*x+5)) = 0
1*(2*x+5)+6*(4*x^2-25) = 0
24*x^2+2*x-145 = 0
24*x^2+2*x-145 = 0
24*x^2+2*x-145 = 0
DELTA = 2^2-(-145*4*24)
DELTA = 13924
DELTA > 0
x = (13924^(1/2)-2)/(2*24) or x = (-13924^(1/2)-2)/(2*24)
x = 29/12 or x = -5/2
(x+5/2)*(x-29/12) = 0
((x+5/2)*(x-29/12))/((4*x^2-25)*(2*x+5)) = 0
((x+5/2)*(x-29/12))/((4*x^2-25)*(2*x+5)) = 0 // * (4*x^2-25)*(2*x+5)
(x+5/2)*(x-29/12) = 0
( x+5/2 )
x+5/2 = 0 // - 5/2
x = -5/2
( x-29/12 )
x-29/12 = 0 // + 29/12
x = 29/12
x in { -5/2}
x = 29/12
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