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(-1/9)*(x-27)+(1/3)*x*(x+3)-17 = 0
1/3*x*(x+3)-1/9*(x-27)-17 = 0
1/3*x*(x+3)-1/9*(x-27)-17 = 0
1/3*x^2+8/9*x-17+3 = 0
1/3*x^2+8/9*x-14 = 0
1/3*x^2+8/9*x-14 = 0
1/3*x^2+8/9*x-14 = 0
DELTA = (8/9)^2-(-14*1/3*4)
DELTA = 1576/81
DELTA > 0
x = ((1576/81)^(1/2)-8/9)/(1/3*2) or x = (-(1576/81)^(1/2)-8/9)/(1/3*2)
x = 3/2*((1576/81)^(1/2)-8/9) or x = -3/2*((1576/81)^(1/2)+8/9)
(x+3/2*((1576/81)^(1/2)+8/9))*(x-3/2*((1576/81)^(1/2)-8/9)) = 0
(x+3/2*((1576/81)^(1/2)+8/9))*(x-3/2*((1576/81)^(1/2)-8/9)) = 0
( x+3/2*((1576/81)^(1/2)+8/9) )
x+3/2*((1576/81)^(1/2)+8/9) = 0 // - 3/2*((1576/81)^(1/2)+8/9)
x = -(3/2*((1576/81)^(1/2)+8/9))
x = -3/2*((1576/81)^(1/2)+8/9)
( x-3/2*((1576/81)^(1/2)-8/9) )
x-3/2*((1576/81)^(1/2)-8/9) = 0 // + -3/2*((1576/81)^(1/2)-8/9)
x = -(-3/2*((1576/81)^(1/2)-8/9))
x = 3/2*((1576/81)^(1/2)-8/9)
x in { -3/2*((1576/81)^(1/2)+8/9), 3/2*((1576/81)^(1/2)-8/9) }
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