(2x+5)(x-3)/x+3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

2*x^2+2*x-15 = 0

2*x^2+2*x-15 = 0

2*x^2+2*x-15 = 0

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

DELTA = 124

DELTA > 0

x = (124^(1/2)-2)/(2*2) or x = (-124^(1/2)-2)/(2*2)

x = (2*31^(1/2)-2)/4 or x = (-2*31^(1/2)-2)/4

(x-((-2*31^(1/2)-2)/4))*(x-((2*31^(1/2)-2)/4)) = 0

((x-((-2*31^(1/2)-2)/4))*(x-((2*31^(1/2)-2)/4)))/x = 0

((x-((-2*31^(1/2)-2)/4))*(x-((2*31^(1/2)-2)/4)))/x = 0 // * x

(x-((-2*31^(1/2)-2)/4))*(x-((2*31^(1/2)-2)/4)) = 0

( x-((-2*31^(1/2)-2)/4) )

x-((-2*31^(1/2)-2)/4) = 0 // + (-2*31^(1/2)-2)/4

x = (-2*31^(1/2)-2)/4

( x-((2*31^(1/2)-2)/4) )

x-((2*31^(1/2)-2)/4) = 0 // + (2*31^(1/2)-2)/4

x = (2*31^(1/2)-2)/4

x in { (-2*31^(1/2)-2)/4, (2*31^(1/2)-2)/4 }

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