t^12/t^6=t^2

Solution for t^12/t^6=t^2 equation:

D( t )

t^6 = 0

t^6 = 0

t^6 = 0

1*t^6 = 0 // : 1

t^6 = 0

t = 0

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

(t^12)/(t^6) = t^2 // - t^2

(t^12)/(t^6)-t^2 = 0

t^6-t^2 = 0

t_1 = t^2

1*t_1^3-1*t_1^1 = 0

t_1^3-t_1 = 0

t_1*(t_1^2-1) = 0

1*t_1^2 = 1 // : 1

t_1^2 = 1

t_1^2 = 1 // ^ 1/2

abs(t_1) = 1

t_1 = 1 or t_1 = -1

t_1 = 0

t_1 = 0

t_1 = 1

t^2-1 = 0

1*t^2 = 1 // : 1

t^2 = 1

t^2 = 1 // ^ 1/2

abs(t) = 1

t = 1 or t = -1

t_1 = -1

t^2+1 = 0

1*t^2 = -1 // : 1

t^2 = -1

t_1 = 0

t^2+0 = 0

t^2 = 0

1*t^2 = 0 // : 1

t^2 = 0

t = 0

t in { 0} 

t in { 1, -1 }