(20t^3+45t)/(20t+10)

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Solution for (20t^3+45t)/(20t+10) equation: 


D( t )

20*t+10 = 0

20*t+10 = 0

20*t+10 = 0

20*t+10 = 0 // - 10

20*t = -10 // : 20

t = -10/20

t = -1/2

t in (-oo:-1/2) U (-1/2:+oo)

(20*t^3+45*t)/(20*t+10) = 0

20*t^3+45*t = 0

5*t*(4*t^2+9) = 0

4*t^2 = -9 // : 4

t^2 = -9/4

5*t = 0

(5*t)/(20*t+10) = 0

5*t = 0 // : 5

t = 0

t = 0

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