(15x2+10x-5)/(5x)

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Solution for (15x2+10x-5)/(5x) equation: 


D( x )

5*x = 0

5*x = 0

5*x = 0

5*x = 0 // : 5

x = 0

x in (-oo:0) U (0:+oo)

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

15*x^2+10*x-5 = 0

5*(3*x^2+2*x-1) = 0

3*x^2+2*x-1 = 0

DELTA = 2^2-(-1*3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(2*3) or x = (-16^(1/2)-2)/(2*3)

x = 1/3 or x = -1

5*(x+1)*(x-1/3) = 0

(5*(x+1)*(x-1/3))/(5*x) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1/3 )

x-1/3 = 0 // + 1/3

x = 1/3

x in { -1, 1/3 }

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