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x in (-oo:+oo)
x*((8*x-9)/3) = 1000 // - 1000
x*((8*x-9)/3)-1000 = 0
(x*(8*x-9))/3-1000 = 0
(x*(8*x-9))/3+(-1000*3)/3 = 0
x*(8*x-9)-1000*3 = 0
8*x^2-9*x-3000 = 0
8*x^2-9*x-3000 = 0
8*x^2-9*x-3000 = 0
DELTA = (-9)^2-(-3000*4*8)
DELTA = 96081
DELTA > 0
x = (96081^(1/2)+9)/(2*8) or x = (9-96081^(1/2))/(2*8)
x = (96081^(1/2)+9)/16 or x = (9-96081^(1/2))/16
(x-((9-96081^(1/2))/16))*(x-((96081^(1/2)+9)/16)) = 0
((x-((9-96081^(1/2))/16))*(x-((96081^(1/2)+9)/16)))/3 = 0
((x-((9-96081^(1/2))/16))*(x-((96081^(1/2)+9)/16)))/3 = 0 // * 3
(x-((9-96081^(1/2))/16))*(x-((96081^(1/2)+9)/16)) = 0
( x-((9-96081^(1/2))/16) )
x-((9-96081^(1/2))/16) = 0 // + (9-96081^(1/2))/16
x = (9-96081^(1/2))/16
( x-((96081^(1/2)+9)/16) )
x-((96081^(1/2)+9)/16) = 0 // + (96081^(1/2)+9)/16
x = (96081^(1/2)+9)/16
x in { (9-96081^(1/2))/16, (96081^(1/2)+9)/16 }
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