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

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Solution for (3-6x)/(x^3+5x^2-6x)=0 equation:


D( x )

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

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

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

x^3+5*x^2-6*x = 0

x^3+5*x^2-6*x = 0

x*(x^2+5*x-6) = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

x = 0

x = 0

x in (-oo:-6) U (-6:0) U (0:1) U (1:+oo)

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

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

x^3+5*x^2-6*x = 0

x*(x^2+5*x-6) = 0

x^2+5*x-6 = 0

DELTA = 5^2-(-6*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)

x = 1 or x = -6

x*(x+6)*(x-1) = 0

(3-6*x)/(x*(x+6)*(x-1)) = 0

3-6*x = 0 // - 3

-6*x = -3 // : -6

x = -3/(-6)

x = 1/2

x = 1/2

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