3x-18/(6-x)(x-6)

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Solution for 3x-18/(6-x)(x-6) equation: 


D( x )

6-x = 0

6-x = 0

6-x = 0

6-x = 0 // - 6

-x = -6 // * -1

x = 6

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

3*x-((18/(6-x))*(x-6)) = 0

3*x-18*(6-x)^-1*(x-6) = 0

(-18*(x-6))/(6-x)+3*x = 0

(-18*(x-6))/(6-x)+(3*x*(6-x))/(6-x) = 0

3*x*(6-x)-18*(x-6) = 0

108-3*x^2 = 0

(108-3*x^2)/(6-x) = 0

(108-3*x^2)/(6-x) = 0 // * 6-x

108-3*x^2 = 0

-3*x^2 = -108 // : -3

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { 6} 

x = -6

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