(12t^6-8t^8)/2t^3

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Solution for (12t^6-8t^8)/2t^3 equation:


t in (-oo:+oo)

t^3*((12*t^6-(8*t^8))/2) = 0

t^3*((12*t^6-8*t^8)/2) = 0

(t^3*(12*t^6-8*t^8))/2 = 0

12*t^6-8*t^8 = 0

4*t^6*(3-2*t^2) = 0

-2*t^2 = -3 // : -2

t^2 = 3/2

t^2 = 3/2 // ^ 1/2

abs(t) = (3/2)^(1/2)

t = (3/2)^(1/2) or t = -(3/2)^(1/2)

4*t^6*(t-(3/2)^(1/2))*(t+(3/2)^(1/2)) = 0

(4*t^3*t^6*(t-(3/2)^(1/2))*(t+(3/2)^(1/2)))/2 = 0

( 4*t^6 )

4*t^6 = 0 // : 4

t^6 = 0

t = 0

( t+(3/2)^(1/2) )

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

t = -(3/2)^(1/2)

( t-(3/2)^(1/2) )

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

t = (3/2)^(1/2)

( t^3 )

1*t^3 = 0 // : 1

t^3 = 0

t = 0

t in { 0, -(3/2)^(1/2), (3/2)^(1/2), 0 }

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