(3x+2)/(15x^2+22x+8)

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Solution for (3x+2)/(15x^2+22x+8) equation: 


D( x )

15*x^2+22*x+8 = 0

15*x^2+22*x+8 = 0

15*x^2+22*x+8 = 0

15*x^2+22*x+8 = 0

DELTA = 22^2-(4*8*15)

DELTA = 4

DELTA > 0

x = (4^(1/2)-22)/(2*15) or x = (-4^(1/2)-22)/(2*15)

x = -2/3 or x = -4/5

x in (-oo:-4/5) U (-4/5:-2/3) U (-2/3:+oo)

(3*x+2)/(15*x^2+22*x+8) = 0

15*x^2+22*x+8 = 0

15*x^2+22*x+8 = 0

DELTA = 22^2-(4*8*15)

DELTA = 4

DELTA > 0

x = (4^(1/2)-22)/(2*15) or x = (-4^(1/2)-22)/(2*15)

x = -2/3 or x = -4/5

(x+4/5)*(x+2/3) = 0

(3*x+2)/((x+4/5)*(x+2/3)) = 0

3*x+2 = 0 // - 2

3*x = -2 // : 3

x = -2/3

x in { -2/3} 

x belongs to the empty set

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