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D( x )
2*x+5 = 0
2*x+5 = 0
2*x+5 = 0
2*x+5 = 0 // - 5
2*x = -5 // : 2
x = -5/2
x in (-oo:-5/2) U (-5/2:+oo)
(2*x^2)/(2*x+5)-((7*x+30)/(2*x+5)) = 0
(2*x^2)/(2*x+5)+(-1*(7*x+30))/(2*x+5) = 0
2*x^2-1*(7*x+30) = 0
2*x^2-7*x-30 = 0
2*x^2-7*x-30 = 0
2*x^2-7*x-30 = 0
DELTA = (-7)^2-(-30*2*4)
DELTA = 289
DELTA > 0
x = (289^(1/2)+7)/(2*2) or x = (7-289^(1/2))/(2*2)
x = 6 or x = -5/2
(x+5/2)*(x-6) = 0
((x+5/2)*(x-6))/(2*x+5) = 0
((x+5/2)*(x-6))/(2*x+5) = 0 // * 2*x+5
(x+5/2)*(x-6) = 0
( x+5/2 )
x+5/2 = 0 // - 5/2
x = -5/2
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -5/2}
x = 6
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