# Conservation problem part 2

Algebra Level 5

$\large2\sqrt[4]{27x^2+24x+\dfrac{28}{3}}=1+\sqrt{\dfrac{27}{2}x+6}$

If the sum of all the roots that satisfy the equation above can be expressed as $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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