(3x^2-30x+75)/(3x-15)

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Solution for (3x^2-30x+75)/(3x-15) equation: 


D( x )

3*x-15 = 0

3*x-15 = 0

3*x-15 = 0

3*x-15 = 0 // + 15

3*x = 15 // : 3

x = 15/3

x = 5

x in (-oo:5) U (5:+oo)

(3*x^2-(30*x)+75)/(3*x-15) = 0

(3*x^2-30*x+75)/(3*x-15) = 0

3*x^2-30*x+75 = 0

3*(x^2-10*x+25) = 0

x^2-10*x+25 = 0

DELTA = (-10)^2-(1*4*25)

DELTA = 0

x = 10/(1*2)

x = 5 or x = 5

3*(x-5)^2 = 0

(3*(x-5)^2)/(3*x-15) = 0

x-5 = 0 // + 5

x = 5

x in { 5} 

x belongs to the empty set

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