$g(x)=2 x^{2}+10 x ; g(-4)$

Step 1 ：The given function is \(g(x)=2 x^{2}+10 x\). We are asked to find the value of \(g(-4)\).

Step 2 ：Substitute \(x=-4\) into the function: \(g(-4)=2(-4)^{2}+10(-4)\).

Step 3 ：Simplify the expression to get the final result: \(g(-4)=-8\).

Step 4 ：Final Answer: \(\boxed{-8}\)