Answer
$x=\frac{2}{3}$
Work Step by Step
We solve by factoring.
First we multiply through by 9:
$x^{2}-\frac{4}{3}x+\frac{4}{9}=0$
Then we factor:
$9x^{2}-12x+4=0$
$(3x-2)^{2}=0$
$x=\frac{2}{3}$
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