(3x-1)(3x-1)=4/9

Solution for (3x-1)(3x-1)=4/9 equation:

x in (-oo:+oo)

(3*x-1)*(3*x-1) = 4/9 // - 4/9

(3*x-1)*(3*x-1)-(4/9) = 0

(3*x-1)*(3*x-1)-4/9 = 0

(3*x-1)^2-4/9 = 0

(9*(3*x-1)^2)/9-4/9 = 0

9*(3*x-1)^2-4 = 0

81*x^2-54*x+5 = 0

81*x^2-54*x+5 = 0

81*x^2-54*x+5 = 0

DELTA = (-54)^2-(4*5*81)

DELTA = 1296

DELTA > 0

x = (1296^(1/2)+54)/(2*81) or x = (54-1296^(1/2))/(2*81)

x = 5/9 or x = 1/9

(x-1/9)*(x-5/9) = 0

((x-1/9)*(x-5/9))/9 = 0

((x-1/9)*(x-5/9))/9 = 0 // * 9

(x-1/9)*(x-5/9) = 0

( x-1/9 )

x-1/9 = 0 // + 1/9

x = 1/9

( x-5/9 )

x-5/9 = 0 // + 5/9

x = 5/9

x in { 1/9, 5/9 }