(50x^3-60x^2+10x)/10

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Solution for (50x^3-60x^2+10x)/10 equation: 


x in (-oo:+oo)

(50*x^3-(60*x^2)+10*x)/10 = 0

(50*x^3-60*x^2+10*x)/10 = 0

50*x^3-60*x^2+10*x = 0

10*x*(5*x^2-6*x+1) = 0

5*x^2-6*x+1 = 0

DELTA = (-6)^2-(1*4*5)

DELTA = 16

DELTA > 0

x = (16^(1/2)+6)/(2*5) or x = (6-16^(1/2))/(2*5)

x = 1 or x = 1/5

10*x*(x-1/5)*(x-1) = 0

(10*x*(x-1/5)*(x-1))/10 = 0

( 10*x )

10*x = 0 // : 10

x = 0

( x-1/5 )

x-1/5 = 0 // + 1/5

x = 1/5

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 0, 1/5, 1 }

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