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x in (-oo:+oo)
x*(0.5*x+8/7) = x+18 // - x+18
x*(0.5*x+8/7)-x-18 = 0
x*(0.5*x+8/7)-x-18 = 0
0.5*x^2+1/7*x-18 = 0
0.5*x^2+1/7*x-18 = 0
0.5*x^2+1/7*x-18 = 0
DELTA = (1/7)^2-(-18*0.5*4)
DELTA = 1765/49
DELTA > 0
x = ((1765/49)^(1/2)-1/7)/(0.5*2) or x = (-(1765/49)^(1/2)-1/7)/(0.5*2)
x = (1765/49)^(1/2)-1/7 or x = -((1765/49)^(1/2)+1/7)
(x+(1765/49)^(1/2)+1/7)*(x-(1765/49)^(1/2)+1/7) = 0
(x+(1765/49)^(1/2)+1/7)*(x-(1765/49)^(1/2)+1/7) = 0
( x+(1765/49)^(1/2)+1/7 )
x+(1765/49)^(1/2)+1/7 = 0 // - (1765/49)^(1/2)+1/7
x = -((1765/49)^(1/2)+1/7)
( x-(1765/49)^(1/2)+1/7 )
x-(1765/49)^(1/2)+1/7 = 0 // - 1/7-(1765/49)^(1/2)
x = -(1/7-(1765/49)^(1/2))
x = (1765/49)^(1/2)-1/7
x in { -((1765/49)^(1/2)+1/7), (1765/49)^(1/2)-1/7 }
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