(3x+3)/(15x^2+21x+6)

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Solution for (3x+3)/(15x^2+21x+6) equation:


D( x )

15*x^2+21*x+6 = 0

15*x^2+21*x+6 = 0

15*x^2+21*x+6 = 0

15*x^2+21*x+6 = 0

DELTA = 21^2-(4*6*15)

DELTA = 81

DELTA > 0

x = (81^(1/2)-21)/(2*15) or x = (-81^(1/2)-21)/(2*15)

x = -2/5 or x = -1

x in (-oo:-1) U (-1:-2/5) U (-2/5:+oo)

(3*x+3)/(15*x^2+21*x+6) = 0

15*x^2+21*x+6 = 0

3*(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 = (-9^(1/2)-7)/(2*5)

x = -2/5 or x = -1

3*(x+1)*(x+2/5) = 0

(3*x+3)/(3*(x+1)*(x+2/5)) = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x in { -1}

x belongs to the empty set

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