4(x-1)^2+1/3=7/9

Solution for 4(x-1)^2+1/3=7/9 equation:

x in (-oo:+oo)

4*(x-1)^2+1/3 = 7/9 // - 7/9

4*(x-1)^2+1/3-(7/9) = 0

4*(x-1)^2+1/3-7/9 = 0

(3*4*9*(x-1)^2)/(3*9)+(1*9)/(3*9)+(-7*3)/(3*9) = 0

3*4*9*(x-1)^2+1*9-7*3 = 0

108*x^2-216*x-21+117 = 0

108*x^2-216*x+96 = 0

108*x^2-216*x+96 = 0

12*(9*x^2-18*x+8) = 0

9*x^2-18*x+8 = 0

DELTA = (-18)^2-(4*8*9)

DELTA = 36

DELTA > 0

x = (36^(1/2)+18)/(2*9) or x = (18-36^(1/2))/(2*9)

x = 4/3 or x = 2/3

12*(x-2/3)*(x-4/3) = 0

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

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

12*(x-2/3)*(x-4/3) = 0

( x-2/3 )

x-2/3 = 0 // + 2/3

x = 2/3

( x-4/3 )

x-4/3 = 0 // + 4/3

x = 4/3

x in { 2/3, 4/3 }