Equality might be too hard

Algebra Level 5

x 2 + 7 x + 14 + 2 ( x + 1 ) 2 x + 5 + 2 ( 2 x + 3 ) x + 3 + 4 2 x 2 + 11 x + 15 = 0 x^2+7x+14+2(x+1)\sqrt{2x+5}+2(2x+3)\sqrt{x+3} \\ +4\sqrt{2x^2+11x+15}=0 Let the sum of all x x satisfy the equation is A A . Find 10000 A 10000A round to the nearest integer.


The answer is -24641.

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