-1/6(x+18+1/2)x+2=x+0

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Solution for -1/6(x+18+1/2)x+2=x+0 equation: 


x in (-oo:+oo)

(-1/6)*x*(x+1/2+18)+2 = x+0 // - x+0

(-1/6)*x*(x+1/2+18)-x+0+2 = 0

(-1/6)*x*(x+1/2+18)-x+2 = 0

2-1/6*x*(x+37/2)-x = 0

2-1/6*x*(x+37/2)-x = 0

2-1/6*x^2-49/12*x = 0

2-1/6*x^2-49/12*x = 0

2-1/6*x^2-49/12*x = 0

DELTA = (-49/12)^2-(-1/6*2*4)

DELTA = 2593/144

DELTA > 0

x = ((2593/144)^(1/2)+49/12)/(-1/6*2) or x = (49/12-(2593/144)^(1/2))/(-1/6*2)

x = -3*((2593/144)^(1/2)+49/12) or x = -3*(49/12-(2593/144)^(1/2))

(x+3*((2593/144)^(1/2)+49/12))*(x+3*(49/12-(2593/144)^(1/2))) = 0

(x+3*((2593/144)^(1/2)+49/12))*(x+3*(49/12-(2593/144)^(1/2))) = 0

( x+3*((2593/144)^(1/2)+49/12) )

x+3*((2593/144)^(1/2)+49/12) = 0 // - 3*((2593/144)^(1/2)+49/12)

x = -(3*((2593/144)^(1/2)+49/12))

x = -3*((2593/144)^(1/2)+49/12)

( x+3*(49/12-(2593/144)^(1/2)) )

x+3*(49/12-(2593/144)^(1/2)) = 0 // - 3*(49/12-(2593/144)^(1/2))

x = -(3*(49/12-(2593/144)^(1/2)))

x = -3*(49/12-(2593/144)^(1/2))

x in { -3*((2593/144)^(1/2)+49/12), -3*(49/12-(2593/144)^(1/2)) }

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