Solve the equation:-
$(x^{2} - 5) (x + 5) + 25 = 0$

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Solution

$(x^{2} - 5) (x + 5) + 25 = 0$
$x^{3} - 5 x + 5 x^{2} - 25 + 25 = 0$
$x^{3} + 5 x^{2} - 5 x = 0$
$x (x^{2} + 5 x - 5) = 0$
$x = 0$ or $x^{2} + 5 x - 5 = 0$
$x = 0$ or $x = \frac{- 5 \pm \sqrt{25 + 20}}{2} = \frac{- 5 \pm 3 \sqrt{5}}{2}$

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