(8h-1)/(5h+1)=5/6

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Solution for (8h-1)/(5h+1)=5/6 equation:


D( h )

5*h+1 = 0

5*h+1 = 0

5*h+1 = 0

5*h+1 = 0 // - 1

5*h = -1 // : 5

h = -1/5

h in (-oo:-1/5) U (-1/5:+oo)

(8*h-1)/(5*h+1) = 5/6 // - 5/6

(8*h-1)/(5*h+1)-(5/6) = 0

(8*h-1)/(5*h+1)-5/6 = 0

(6*(8*h-1))/(6*(5*h+1))+(-5*(5*h+1))/(6*(5*h+1)) = 0

6*(8*h-1)-5*(5*h+1) = 0

23*h-11 = 0

(23*h-11)/(6*(5*h+1)) = 0

(23*h-11)/(6*(5*h+1)) = 0 // * 6*(5*h+1)

23*h-11 = 0

23*h-11 = 0 // + 11

23*h = 11 // : 23

h = 11/23

h = 11/23

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