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x in (-oo:+oo)
(t*t^2*x^2*(((t-2)^2)/4))/t-2 = 0
(t^3*x^2*(t-2)^2)/(4*t)-2 = 0
(t^3*x^2*(t-2)^2)/(4*t)+(-2*4*t)/(4*t) = 0
t^3*x^2*(t-2)^2-2*4*t = 0
t^5*x^2-4*t^4*x^2+4*t^3*x^2-8*t = 0
t^5*x^2-4*t^4*x^2+4*t^3*x^2-8*t = 0
t*(t^4*x^2-4*t^3*x^2+4*t^2*x^2-8) = 0
4*t^2*x^2-8 = 0
DELTA = 0^2-(-8*4*4*t^2)
DELTA = 128*t^2
128*t^2 = 0
128*t^2 = 0 // : 128
t^2 = 0
t = 0
DELTA = 0 <=> t_1 = 0
x = 0/(2*4*t^2) i t = 0
x = 0 i t = 0
( x = ((128*t^2)^(1/2)+0)/(2*4*t^2) or x = (0-(128*t^2)^(1/2))/(2*4*t^2) ) i t > 0
( x = 2^(1/2)*t^-1 or x = -(2^(1/2)*t^-1) ) i t > 0
t+0 > 0
t > 0
t+0 > 0 // - 0
t > 0
t*x*(x-2^(1/2)*t^-1)*(2^(1/2)*t^-1+x) = 0
(t*x*(x-2^(1/2)*t^-1)*(2^(1/2)*t^-1+x))/(4*t) = 0
(t*x*(x-2^(1/2)*t^-1)*(2^(1/2)*t^-1+x))/(4*t) = 0 // * 4*t
t*x*(x-2^(1/2)*t^-1)*(2^(1/2)*t^-1+x) = 0
( 2^(1/2)*t^-1+x )
2^(1/2)*t^-1+x = 0 // - 2^(1/2)*t^-1
x = -(2^(1/2)*t^-1)
( x-2^(1/2)*t^-1 )
x-2^(1/2)*t^-1 = 0 // + -2^(1/2)*t^-1
x = -(-2^(1/2)*t^-1)
( x )
x = 0
x in { -(2^(1/2)*t^-1), -(-2^(1/2)*t^-1), 0 }
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