Step 1 :Given the complex numbers $(-7+2 i)$ and $(6-5 i)$, we are asked to find their product.
Step 2 :We can use the distributive property of multiplication over addition, which states that for all complex numbers a, b, and c, the equation $(a + b)c = ac + bc$ holds.
Step 3 :Applying this property, we distribute the complex number $(-7 + 2i)$ over the complex number $(6 - 5i)$ to get the product.
Step 4 :Performing the multiplication, we get $(-7+2 i)(6-5 i) = -32 + 47i$.
Step 5 :Thus, the product of the complex numbers $(-7+2 i)$ and $(6-5 i)$ is \(\boxed{-32 + 47i}\).