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x in (-oo:+oo)
(45*((54*x^2+65)/23-65)-78)/58+45 = 10000 // - 10000
(45*((54*x^2+65)/23-65)-78)/58-10000+45 = 0
(45*((54*x^2+65)/23-65)-78)/58+(-10000*58)/58+(45*58)/58 = 0
45*((54*x^2+65)/23-65)-10000*58+45*58-78 = 0
2430/23*x^2-580000-66144/23+2610 = 0
2430/23*x^2-13406144/23+2610 = 0
2430/23*x^2-13346114/23 = 0
(2430/23*x^2-13346114/23)/58 = 0
(2430/23*x^2-13346114/23)/58 = 0 // * 58
2430/23*x^2-13346114/23 = 0
2430/23*x^2 = 13346114/23 // : 2430/23
x^2 = 6673057/1215
x^2 = 6673057/1215 // ^ 1/2
abs(x) = (6673057/1215)^(1/2)
x = (6673057/1215)^(1/2) or x = -(6673057/1215)^(1/2)
x in { (6673057/1215)^(1/2), -(6673057/1215)^(1/2) }
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