Solve the following equation.
$16 x^{2} - 24 x + 9 = 0$

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Solution

Consider the given equation.

$16 x^{2} - 24 x + 9 = 0$

$\Rightarrow 16 x^{2} - 12 x - 12 x + 9 = 0$

$\Rightarrow 4 x (4 x - 3) - 3 (4 x - 3) = 0$

$\Rightarrow (4 x - 3) (4 x - 3) = 0$

So, the value of $x$ is $\frac{3}{4}$

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