Looking to solve for x.

Or we can complete the square;

i.e., force x^2 - 2hx + h^2 and

replace with (x - h)^2:

3x^2 = 2(3x + 1) = 6x + 2

3x^2 - 6x = 2

x^2 - 2(1)x = 2/3

h = 1; add h^2 to both sides:

x^2 - 2(1)x + 1 = 2/3 + 1 = 5/3

Replace perfect square trinomial with square:

(x - 1)^2 = 15/9

Take square root of both sides (sqrt(n^2) = |n|):

|x - 1| = sqrt(15)/3

Solve for x:

x - 1 = ±sqrt(15)/3

x = 1 ± sqrt(15)/3 exactly

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