(x-1/3)^2+(x-1/3)(x+2/9)=0

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Solution for (x-1/3)^2+(x-1/3)(x+2/9)=0 equation: 


x in (-oo:+oo)

(x-(1/3))^2+(x-(1/3))*(x+2/9) = 0

(x-1/3)^2+(x-1/3)*(x+2/9) = 0

(x-1/3)^2+(x-1/3)*(x+2/9) = 0

2*x^2-7/9*x+1/27 = 0

2*x^2-7/9*x+1/27 = 0

2*x^2-7/9*x+1/27 = 0

DELTA = (-7/9)^2-(1/27*2*4)

DELTA = 25/81

DELTA > 0

x = ((25/81)^(1/2)+7/9)/(2*2) or x = (7/9-(25/81)^(1/2))/(2*2)

x = 1/3 or x = 1/18

(x-1/18)*(x-1/3) = 0

(x-1/18)*(x-1/3) = 0

( x-1/18 )

x-1/18 = 0 // + 1/18

x = 1/18

( x-1/3 )

x-1/3 = 0 // + 1/3

x = 1/3

x in { 1/18, 1/3 }

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