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X in (-oo:+oo)
(1/4)*(X-4)+(2/5)*(X-5) = (1/5)*(X^2-53) // - (1/5)*(X^2-53)
(1/4)*(X-4)+(2/5)*(X-5)-((1/5)*(X^2-53)) = 0
(1/4)*(X-4)+(2/5)*(X-5)+(-1/5)*(X^2-53) = 0
1/4*(X-4)+2/5*(X-5)-1/5*(X^2-53) = 0
1/4*(X-4)+2/5*(X-5)-1/5*(X^2-53) = 0
13/20*X-1/5*X^2-3+53/5 = 0
13/20*X-1/5*X^2+38/5 = 0
13/20*X-1/5*X^2+38/5 = 0
1/5*(13/4*X-X^2+38) = 0
13/4*X-X^2+38 = 0
DELTA = (13/4)^2-(-1*4*38)
DELTA = 2601/16
DELTA > 0
X = ((2601/16)^(1/2)-13/4)/(-1*2) or X = (-(2601/16)^(1/2)-13/4)/(-1*2)
X = -19/4 or X = 8
1/5*(X+19/4)*(X-8) = 0
1/5*(X+19/4)*(X-8) = 0
( X+19/4 )
X+19/4 = 0 // - 19/4
X = -19/4
( X-8 )
X-8 = 0 // + 8
X = 8
X in { -19/4, 8 }
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