multiply (x-5)(2x+1)

To multiply (x-5)(2x+1), we can follow the steps below:

1. Multiply the first terms: (x)(2x) = 2x^2.
2. Multiply the outer terms: (x)(1) = x.
3. Multiply the inner terms: (-5)(2x) = -10x.
4. Multiply the last terms: (-5)(1) = -5.

Combine all the terms obtained:

2x^2 + x - 10x - 5.

Simplify the equation:

2x^2 - 9x - 5.

Therefore, (x-5)(2x+1) simplifies to 2x^2 - 9x - 5.