1/t-1/(2t)-1/(5t)=10/(t+1)

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Solution for 1/t-1/(2t)-1/(5t)=10/(t+1) equation:


D( t )

5*t = 0

2*t = 0

t+1 = 0

t = 0

5*t = 0

5*t = 0

5*t = 0 // : 5

t = 0

2*t = 0

2*t = 0

2*t = 0 // : 2

t = 0

t+1 = 0

t+1 = 0

t+1 = 0 // - 1

t = -1

t = 0

t = 0

t in (-oo:-1) U (-1:0) U (0:+oo)

1/t-(1/(2*t))-(1/(5*t)) = 10/(t+1) // - 10/(t+1)

1/t-(10/(t+1))-(1/(2*t))-(1/(5*t)) = 0

1/t-10*(t+1)^-1+(-1/2)*t^-1+(-1/5)*t^-1 = 0

1/t-10/(t+1)-1/(2*t)-1/(5*t) = 0

(-10*2*5*t*t*t)/(2*5*t*t*t*(t+1))+(1*2*5*t*t*(t+1))/(2*5*t*t*t*(t+1))+(-1*5*t*t*(t+1))/(2*5*t*t*t*(t+1))+(-1*2*t*t*(t+1))/(2*5*t*t*t*(t+1)) = 0

1*2*5*t*t*(t+1)-1*5*t*t*(t+1)-1*2*t*t*(t+1)-10*2*5*t*t*t = 0

10*t^2-90*t^3-5*t^3-2*t^3-5*t^2-2*t^2 = 0

5*t^2-95*t^3-2*t^3-2*t^2 = 0

3*t^2-97*t^3 = 0

3*t^2-97*t^3 = 0

t^2*(3-97*t) = 0

3-97*t = 0 // - 3

-97*t = -3 // : -97

t = -3/(-97)

t = 3/97

t^2*(t-3/97) = 0

(t^2*(t-3/97))/(2*5*t*t*t*(t+1)) = 0

(t^2*(t-3/97))/(2*5*t*t*t*(t+1)) = 0 // * 2*5*t*t*t*(t+1)

t^2*(t-3/97) = 0

( t-3/97 )

t-3/97 = 0 // + 3/97

t = 3/97

( t^2 )

1*t^2 = 0 // : 1

t^2 = 0

t = 0

t in { 0}

t = 3/97

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