(3x^2+18x+3)/(x+5)

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Solution for (3x^2+18x+3)/(x+5) equation:


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

(3*x^2+18*x+3)/(x+5) = 0

3*x^2+18*x+3 = 0

3*(x^2+6*x+1) = 0

x^2+6*x+1 = 0

DELTA = 6^2-(1*1*4)

DELTA = 32

DELTA > 0

x = (32^(1/2)-6)/(1*2) or x = (-32^(1/2)-6)/(1*2)

x = (4*2^(1/2)-6)/2 or x = (-4*2^(1/2)-6)/2

3*(x-((-4*2^(1/2)-6)/2))*(x-((4*2^(1/2)-6)/2)) = 0

(3*(x-((-4*2^(1/2)-6)/2))*(x-((4*2^(1/2)-6)/2)))/(x+5) = 0

( x-((-4*2^(1/2)-6)/2) )

x-((-4*2^(1/2)-6)/2) = 0 // + (-4*2^(1/2)-6)/2

x = (-4*2^(1/2)-6)/2

( x-((4*2^(1/2)-6)/2) )

x-((4*2^(1/2)-6)/2) = 0 // + (4*2^(1/2)-6)/2

x = (4*2^(1/2)-6)/2

x in { (-4*2^(1/2)-6)/2, (4*2^(1/2)-6)/2 }

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