(x-3)(x+6)/x+7

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Solution for (x-3)(x+6)/x+7 equation: 


D( x )

x = 0

x = 0

x = 0

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

((x-3)*(x+6))/x+7 = 0

((x-3)*(x+6))/x+(7*x)/x = 0

(x-3)*(x+6)+7*x = 0

x^2+10*x-18 = 0

x^2+10*x-18 = 0

x^2+10*x-18 = 0

DELTA = 10^2-(-18*1*4)

DELTA = 172

DELTA > 0

x = (172^(1/2)-10)/(1*2) or x = (-172^(1/2)-10)/(1*2)

x = (2*43^(1/2)-10)/2 or x = (-2*43^(1/2)-10)/2

(x-((-2*43^(1/2)-10)/2))*(x-((2*43^(1/2)-10)/2)) = 0

((x-((-2*43^(1/2)-10)/2))*(x-((2*43^(1/2)-10)/2)))/x = 0

((x-((-2*43^(1/2)-10)/2))*(x-((2*43^(1/2)-10)/2)))/x = 0 // * x

(x-((-2*43^(1/2)-10)/2))*(x-((2*43^(1/2)-10)/2)) = 0

( x-((-2*43^(1/2)-10)/2) )

x-((-2*43^(1/2)-10)/2) = 0 // + (-2*43^(1/2)-10)/2

x = (-2*43^(1/2)-10)/2

( x-((2*43^(1/2)-10)/2) )

x-((2*43^(1/2)-10)/2) = 0 // + (2*43^(1/2)-10)/2

x = (2*43^(1/2)-10)/2

x in { (-2*43^(1/2)-10)/2, (2*43^(1/2)-10)/2 }

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