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The number of real solutions of the equation $$x|x + 5| + 2|x + 7| - 2 = 0$$ is _________
Correct Answer: 3
$$x \geq -5$$: $$x^2+7x+12=0 \implies x = -3, -4$$ (2 solutions).
$$-7 \leq x < -5$$: $$-x^2-3x+12=0 \implies x = \frac{-3-\sqrt{57}}{2} \approx -5.27$$ (1 solution).
$$x < -7$$: $$-x^2-7x-16=0 \implies D < 0$$ (0 solutions).
Total: 3
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