(10x2-14x+4)/(5x-2)

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Solution for (10x2-14x+4)/(5x-2) equation: 


D( x )

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0

5*x-2 = 0 // + 2

5*x = 2 // : 5

x = 2/5

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

(10*x^2-(14*x)+4)/(5*x-2) = 0

(10*x^2-14*x+4)/(5*x-2) = 0

10*x^2-14*x+4 = 0

2*(5*x^2-7*x+2) = 0

5*x^2-7*x+2 = 0

DELTA = (-7)^2-(2*4*5)

DELTA = 9

DELTA > 0

x = (9^(1/2)+7)/(2*5) or x = (7-9^(1/2))/(2*5)

x = 1 or x = 2/5

2*(x-2/5)*(x-1) = 0

(2*(x-2/5)*(x-1))/(5*x-2) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-2/5 )

x-2/5 = 0 // + 2/5

x = 2/5

x in { 2/5} 

x = 1

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