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D( x )
x^2+5*x = 0
x^2+5*x = 0
x^2+5*x = 0
x^2+5*x = 0
DELTA = 5^2-(0*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-5)/(1*2) or x = (-25^(1/2)-5)/(1*2)
x = 0 or x = -5
x in (-oo:-5) U (-5:0) U (0:+oo)
(x^2-(3*x))/(x^2+5*x)+(x^2+2*x)/(x^2+5*x) = 0
(x^2-3*x)/(x^2+5*x)+(x^2+2*x)/(x^2+5*x) = 0
x^2+5*x = 0
x^2+5*x = 0
x*(x+5) = 0
x+5 = 0 // - 5
x = -5
x*(x+5) = 0
(x^2-3*x)/(x*(x+5))+(x^2+2*x)/(x*(x+5)) = 0
x^2+x^2-3*x+2*x = 0
2*x^2-x = 0
2*x^2-x = 0
x*(2*x-1) = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x*(x-1/2) = 0
(x*(x-1/2))/(x*(x+5)) = 0
(x*(x-1/2))/(x*(x+5)) = 0 // * x*(x+5)
x*(x-1/2) = 0
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
( x )
x = 0
x in { 0}
x = 1/2
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