(x+5)(x+2)/x+1

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Solution for (x+5)(x+2)/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

x^2+8*x+10 = 0

x^2+8*x+10 = 0

x^2+8*x+10 = 0

DELTA = 8^2-(1*4*10)

DELTA = 24

DELTA > 0

x = (24^(1/2)-8)/(1*2) or x = (-24^(1/2)-8)/(1*2)

x = (2*6^(1/2)-8)/2 or x = (-2*6^(1/2)-8)/2

(x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)) = 0

((x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)))/x = 0

((x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)))/x = 0 // * x

(x-((-2*6^(1/2)-8)/2))*(x-((2*6^(1/2)-8)/2)) = 0

( x-((-2*6^(1/2)-8)/2) )

x-((-2*6^(1/2)-8)/2) = 0 // + (-2*6^(1/2)-8)/2

x = (-2*6^(1/2)-8)/2

( x-((2*6^(1/2)-8)/2) )

x-((2*6^(1/2)-8)/2) = 0 // + (2*6^(1/2)-8)/2

x = (2*6^(1/2)-8)/2

x in { (-2*6^(1/2)-8)/2, (2*6^(1/2)-8)/2 }

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