(6x^2+25x+25)/(2x+5)

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Solution for (6x^2+25x+25)/(2x+5) equation: 


D( x )

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0

2*x+5 = 0 // - 5

2*x = -5 // : 2

x = -5/2

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

(6*x^2+25*x+25)/(2*x+5) = 0

6*x^2+25*x+25 = 0

6*x^2+25*x+25 = 0

DELTA = 25^2-(4*6*25)

DELTA = 25

DELTA > 0

x = (25^(1/2)-25)/(2*6) or x = (-25^(1/2)-25)/(2*6)

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

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

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

( x+5/2 )

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

x = -5/2

( x+5/3 )

x+5/3 = 0 // - 5/3

x = -5/3

x in { -5/2} 

x = -5/3

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