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Solve the following equation for $x$: $\frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}$; $x \neq -4,7$
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$\frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}$
$\Rightarrow x^2 – 3x + 2 = 0$
$\Rightarrow (x - 2)(x – 1) = 0$
$\Rightarrow x = 1, 2$
$\Rightarrow x^2 – 3x + 2 = 0$
$\Rightarrow (x - 2)(x – 1) = 0$
$\Rightarrow x = 1, 2$