(5x^2+35x+28)/(x+6)

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Solution for (5x^2+35x+28)/(x+6) equation:


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(5*x^2+35*x+28)/(x+6) = 0

5*x^2+35*x+28 = 0

5*x^2+35*x+28 = 0

DELTA = 35^2-(4*5*28)

DELTA = 665

DELTA > 0

x = (665^(1/2)-35)/(2*5) or x = (-665^(1/2)-35)/(2*5)

x = (665^(1/2)-35)/10 or x = (-(665^(1/2)+35))/10

(x+(665^(1/2)+35)/10)*(x-((665^(1/2)-35)/10)) = 0

((x+(665^(1/2)+35)/10)*(x-((665^(1/2)-35)/10)))/(x+6) = 0

( x+(665^(1/2)+35)/10 )

x+(665^(1/2)+35)/10 = 0 // - (665^(1/2)+35)/10

x = -((665^(1/2)+35)/10)

( x-((665^(1/2)-35)/10) )

x-((665^(1/2)-35)/10) = 0 // + (665^(1/2)-35)/10

x = (665^(1/2)-35)/10

x in { -((665^(1/2)+35)/10), (665^(1/2)-35)/10 }

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