((2x^2-10x)/(6x-1))*((x-5)/(6x-1))

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Solution for ((2x^2-10x)/(6x-1))*((x-5)/(6x-1)) equation: 


D( x )

6*x-1 = 0

6*x-1 = 0

6*x-1 = 0

6*x-1 = 0 // + 1

6*x = 1 // : 6

x = 1/6

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

((2*x^2-(10*x))/(6*x-1))*((x-5)/(6*x-1)) = 0

((2*x^2-10*x)/(6*x-1))*((x-5)/(6*x-1)) = 0

((2*x^2-10*x)*(x-5))/((6*x-1)^2) = 0

2*x^2-10*x = 0

2*x*(x-5) = 0

x-5 = 0 // + 5

x = 5

2*x*(x-5) = 0

(2*x*(x-5)^2)/((6*x-1)^2) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 0, 5, 5 }

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