(1/6r)/((r-7)/(56r^2-8r^3))

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Solution for (1/6r)/((r-7)/(56r^2-8r^3)) equation:


D( r )

(r-7)/(56*r^2-(8*r^3)) = 0

56*r^2-(8*r^3) = 0

(r-7)/(56*r^2-(8*r^3)) = 0

(r-7)/(56*r^2-(8*r^3)) = 0

(r-7)/(56*r^2-8*r^3) = 0

56*r^2-8*r^3 = 0

8*r^2*(7-r) = 0

7-r = 0 // - 7

-r = -7 // * -1

r = 7

8*r^2*(r-7) = 0

(r-7)/(8*r^2*(r-7)) = 0

r-7 = 0 // + 7

r = 7

56*r^2-(8*r^3) = 0

56*r^2-(8*r^3) = 0

56*r^2-8*r^3 = 0

56*r^2-8*r^3 = 0

8*r^2*(7-r) = 0

7-r = 0 // - 7

-r = -7 // * -1

r = 7

8*r^2 = 0

8*r^2 = 0 // : 8

r^2 = 0

r = 0

r in (-oo:0) U (0:7) U (7:+oo)

((1/6)*r)/((r-7)/(56*r^2-(8*r^3))) = 0

((1/6)*r)/((r-7)/(56*r^2-8*r^3)) = 0

(1/6*r*(56*r^2-8*r^3))/(r-7) = 0

56*r^2-8*r^3 = 0

8*r^2*(7-r) = 0

7-r = 0 // - 7

-r = -7 // * -1

r = 7

8*r^2*(r-7) = 0

(1/6*8*r*r^2*(r-7))/(r-7) = 0

( 1/6*r )

1/6*r = 0 // : 1/6

r = 0

( 8*r^2 )

8*r^2 = 0 // : 8

r^2 = 0

r = 0

( r-7 )

r-7 = 0 // + 7

r = 7

r in { 0}

r in { 7}

r belongs to the empty set

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