54x^2/(30x^2+12x)

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Solution for 54x^2/(30x^2+12x) equation: 


D( x )

30*x^2+12*x = 0

30*x^2+12*x = 0

30*x^2+12*x = 0

30*x^2+12*x = 0

DELTA = 12^2-(0*4*30)

DELTA = 144

DELTA > 0

x = (144^(1/2)-12)/(2*30) or x = (-144^(1/2)-12)/(2*30)

x = 0 or x = -2/5

x in (-oo:-2/5) U (-2/5:0) U (0:+oo)

(54*x^2)/(30*x^2+12*x) = 0

30*x^2+12*x = 0

6*x*(5*x+2) = 0

5*x+2 = 0 // - 2

5*x = -2 // : 5

x = -2/5

6*x*(x+2/5) = 0

(54*x^2)/(6*x*(x+2/5)) = 0

54*x^2 = 0 // : 54

x^2 = 0

x = 0

x in { 0} 

x belongs to the empty set

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