Solve: $15 x^{2} - 64 x + 64 = 0$ .

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Solution

$x^{2} - \frac{64}{15} x + \frac{64}{15} = 0$
$x^{2} - \frac{64}{15} x + \frac{1024}{225} = - \frac{64}{15} + \frac{1024}{225}$
$(x - \frac{32}{15})^{2} = \frac{64}{225}$
$x - \frac{32}{15} = \pm \frac{64}{225}$
$x = \frac{32}{15} \pm \frac{64}{225}$
$x = \frac{8}{5}$ or $x = \frac{8}{3}$

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