Expanding and simplifying the equation:
(3x - 1)(3x - 1) + (x + 3)(x + 3) = 20(9x^2 - 6x + 1) + (x^2 + 6x + 9) = 209x^2 - 6x + 1 + x^2 + 6x + 9 = 2010x^2 + 11 = 2010x^2 = 9x^2 = 9/10x = ±√(9/10)x = ±3/√10
Therefore, the solutions are x = 3/√10 and x = -3/√10.
Expanding and simplifying the equation:
(3x - 1)(3x - 1) + (x + 3)(x + 3) = 20
(9x^2 - 6x + 1) + (x^2 + 6x + 9) = 20
9x^2 - 6x + 1 + x^2 + 6x + 9 = 20
10x^2 + 11 = 20
10x^2 = 9
x^2 = 9/10
x = ±√(9/10)
x = ±3/√10
Therefore, the solutions are x = 3/√10 and x = -3/√10.