Find the product of all the roots of the following equation: $6x^2 + 5x - 10 = -19.$

The product is in the form of a simplified fraction $\frac{a}{b}.$ What is $a + b?$

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2016 Problems
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The answer is 5.

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$6x^2+5x+9=0$

By Vieta's, Product of roots,

$=\frac{9}{6}=\frac{3}{2} \\ \Rightarrow 3+2=\boxed{5}$