(12x^2)/(6x^2-15x)

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Solution for (12x^2)/(6x^2-15x) equation: 


D( x )

6*x^2-(15*x) = 0

6*x^2-(15*x) = 0

6*x^2-(15*x) = 0

6*x^2-15*x = 0

6*x^2-15*x = 0

DELTA = (-15)^2-(0*4*6)

DELTA = 225

DELTA > 0

x = (225^(1/2)+15)/(2*6) or x = (15-225^(1/2))/(2*6)

x = 5/2 or x = 0

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

(12*x^2)/(6*x^2-(15*x)) = 0

(12*x^2)/(6*x^2-15*x) = 0

6*x^2-15*x = 0

3*x*(2*x-5) = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

3*x*(x-5/2) = 0

(12*x^2)/(3*x*(x-5/2)) = 0

12*x^2 = 0 // : 12

x^2 = 0

x = 0

x in { 0} 

x belongs to the empty set

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