$(-2+3 i)(7-4 i)=$

Step 1 ：Given two complex numbers, \((-2+3 i)\) and \((7-4 i)\), we are to find the product of these two numbers.

Step 2 ：The multiplication of complex numbers is done in the same way as the multiplication of binomials. We just need to remember that \(i^2 = -1\).

Step 3 ：Multiplying the two complex numbers, we get \((-2+3 i)(7-4 i)\).

Step 4 ：Solving this, we get \((-2+29 i)\).

Step 5 ：\(\boxed{-2+29 i}\) is the final answer.