(x-16)/(6x-30x^2)

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Solution for (x-16)/(6x-30x^2) equation: 


D( x )

6*x-(30*x^2) = 0

6*x-(30*x^2) = 0

6*x-(30*x^2) = 0

6*x-30*x^2 = 0

6*x-30*x^2 = 0

DELTA = 6^2-(-30*0*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-6)/(-30*2) or x = (-36^(1/2)-6)/(-30*2)

x = 0 or x = 1/5

x in (-oo:0) U (0:1/5) U (1/5:+oo)

(x-16)/(6*x-(30*x^2)) = 0

(x-16)/(6*x-30*x^2) = 0

6*x-30*x^2 = 0

6*x*(1-5*x) = 0

1-5*x = 0 // - 1

-5*x = -1 // : -5

x = -1/(-5)

x = 1/5

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

(x-16)/(6*x*(x-1/5)) = 0

x-16 = 0 // + 16

x = 16

x = 16

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