1/(6x^2-36x)-3/(x^3-36x)

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Solution for 1/(6x^2-36x)-3/(x^3-36x) equation:


D( x )

6*x^2-(36*x) = 0

x^3-(36*x) = 0

6*x^2-(36*x) = 0

6*x^2-(36*x) = 0

6*x^2-36*x = 0

6*x^2-36*x = 0

DELTA = (-36)^2-(0*4*6)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)+36)/(2*6) or x = (36-1296^(1/2))/(2*6)

x = 6 or x = 0

x^3-(36*x) = 0

x^3-(36*x) = 0

x^3-36*x = 0

x^3-36*x = 0

x*(x^2-36) = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x = 0

x = 0

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

1/(6*x^2-(36*x))-(3/(x^3-(36*x))) = 0

1/(6*x^2-36*x)-3*(x^3-36*x)^-1 = 0

1/(6*x^2-36*x)-3/(x^3-36*x) = 0

6*x^2-36*x = 0

6*x^2-36*x = 0

6*x*(x-6) = 0

x-6 = 0 // + 6

x = 6

6*x*(x-6) = 0

x^3-36*x = 0

x^3-36*x = 0

x*(x^2-36) = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

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

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

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

1*x-3*6*x = 0

-17*x = 0

(-17*x)/(6*x*x*(x-6)) = 0

(-17*x)/(6*x*x*(x-6)) = 0 // * 6*x*x*(x-6)

-17*x = 0

-17*x = 0 // : -17

x = 0

x in { 0}

x belongs to the empty set

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