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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$9x^2+30x+q=43$
In the given equation, $q$ is a constant. One solution to the given equation is $\frac{-5+\sqrt{14}}{3}$. What is the value of $q$?

A

$54$

B

$43$

C

$11$

D

$5$