(3x-1)^2 - (3x-2)^2 = 0
Expand both terms:
(9x^2 - 6x + 1) - (9x^2 - 12x + 4) = 0
Now, simplify and solve for x:
9x^2 - 6x + 1 - 9x^2 + 12x - 4 = 0-6x + 1 + 12x - 4 = 06x - 3 = 06x = 3x = 3/6x = 1/2
So, the solution to the equation (3x-1)^2 - (3x-2)^2 = 0 is x = 1/2.
(3x-1)^2 - (3x-2)^2 = 0
Expand both terms:
(9x^2 - 6x + 1) - (9x^2 - 12x + 4) = 0
Now, simplify and solve for x:
9x^2 - 6x + 1 - 9x^2 + 12x - 4 = 0
-6x + 1 + 12x - 4 = 0
6x - 3 = 0
6x = 3
x = 3/6
x = 1/2
So, the solution to the equation (3x-1)^2 - (3x-2)^2 = 0 is x = 1/2.