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x in (-oo:+oo)
((4/5)*x-1)^2 = 4/9 // - 4/9
((4/5)*x-1)^2-(4/9) = 0
((4/5)*x-1)^2-4/9 = 0
(4/5*x-1)^2-4/9 = 0
(9*(4/5*x-1)^2)/9-4/9 = 0
9*(4/5*x-1)^2-4 = 0
144/25*x^2-72/5*x+5 = 0
144/25*x^2-72/5*x+5 = 0
144/25*x^2-72/5*x+5 = 0
DELTA = (-72/5)^2-(4*5*144/25)
DELTA = 2304/25
DELTA > 0
x = ((2304/25)^(1/2)+72/5)/(2*144/25) or x = (72/5-(2304/25)^(1/2))/(2*144/25)
x = 25/12 or x = 5/12
(x-5/12)*(x-25/12) = 0
((x-5/12)*(x-25/12))/9 = 0
((x-5/12)*(x-25/12))/9 = 0 // * 9
(x-5/12)*(x-25/12) = 0
( x-25/12 )
x-25/12 = 0 // + 25/12
x = 25/12
( x-5/12 )
x-5/12 = 0 // + 5/12
x = 5/12
x in { 25/12, 5/12 }
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