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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
((2*x+5)*(x-3))/x+3 = 7 // - 7
((2*x+5)*(x-3))/x-7+3 = 0
((2*x+5)*(x-3))/x+(-7*x)/x+(3*x)/x = 0
(2*x+5)*(x-3)-7*x+3*x = 0
2*x^2-8*x+3*x-15 = 0
2*x^2-5*x-15 = 0
2*x^2-5*x-15 = 0
2*x^2-5*x-15 = 0
DELTA = (-5)^2-(-15*2*4)
DELTA = 145
DELTA > 0
x = (145^(1/2)+5)/(2*2) or x = (5-145^(1/2))/(2*2)
x = (145^(1/2)+5)/4 or x = (5-145^(1/2))/4
(x-((5-145^(1/2))/4))*(x-((145^(1/2)+5)/4)) = 0
((x-((5-145^(1/2))/4))*(x-((145^(1/2)+5)/4)))/x = 0
((x-((5-145^(1/2))/4))*(x-((145^(1/2)+5)/4)))/x = 0 // * x
(x-((5-145^(1/2))/4))*(x-((145^(1/2)+5)/4)) = 0
( x-((145^(1/2)+5)/4) )
x-((145^(1/2)+5)/4) = 0 // + (145^(1/2)+5)/4
x = (145^(1/2)+5)/4
( x-((5-145^(1/2))/4) )
x-((5-145^(1/2))/4) = 0 // + (5-145^(1/2))/4
x = (5-145^(1/2))/4
x in { (145^(1/2)+5)/4, (5-145^(1/2))/4 }
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