x=(9(1-2x)^2)/49

Solution for x=(9(1-2x)^2)/49 equation:

x in (-oo:+oo)

x = (9*(1-(2*x))^2)/49 // - (9*(1-(2*x))^2)/49

x-((9*(1-(2*x))^2)/49) = 0

(-9/49)*(1-2*x)^2+x = 0

x-9/49*(1-2*x)^2 = 0

x-9/49*(1-2*x)^2 = 0

85/49*x-36/49*x^2-9/49 = 0

85/49*x-36/49*x^2-9/49 = 0

1/49*(85*x-36*x^2-9) = 0

85*x-36*x^2-9 = 0

DELTA = 85^2-(-36*(-9)*4)

DELTA = 5929

DELTA > 0

x = (5929^(1/2)-85)/(-36*2) or x = (-5929^(1/2)-85)/(-36*2)

x = 1/9 or x = 9/4

1/49*(x-1/9)*(x-9/4) = 0

1/49*(x-1/9)*(x-9/4) = 0

( x-1/9 )

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

x = 1/9

( x-9/4 )

x-9/4 = 0 // + 9/4

x = 9/4

x in { 1/9, 9/4 }