(12x+36)/(12x^2+36x)

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Solution for (12x+36)/(12x^2+36x) equation: 


D( x )

12*x^2+36*x = 0

12*x^2+36*x = 0

12*x^2+36*x = 0

12*x^2+36*x = 0

DELTA = 36^2-(0*4*12)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)-36)/(2*12) or x = (-1296^(1/2)-36)/(2*12)

x = 0 or x = -3

x in (-oo:-3) U (-3:0) U (0:+oo)

(12*x+36)/(12*x^2+36*x) = 0

12*x^2+36*x = 0

12*x*(x+3) = 0

x+3 = 0 // - 3

x = -3

12*x*(x+3) = 0

(12*x+36)/(12*x*(x+3)) = 0

12*x+36 = 0 // - 36

12*x = -36 // : 12

x = -36/12

x = -3

x in { -3} 

x belongs to the empty set

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