(x^2-18)/3=x

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Solution for (x^2-18)/3=x equation: 


x in (-oo:+oo)

(x^2-18)/3 = x // - x

(x^2-18)/3-x = 0

(x^2-18)/3+(3*(-x))/3 = 0

x^2+3*(-x)-18 = 0

x^2-3*x-18 = 0

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

(x+3)*(x-6) = 0

((x+3)*(x-6))/3 = 0

((x+3)*(x-6))/3 = 0 // * 3

(x+3)*(x-6) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { -3, 6 }

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