The problem is to expand the expression $(3x-2)(2x+5)$.

1. Problem Description

The problem is to expand the expression $(3x-2)(2x+5)$.

2. Solution Steps

We need to expand the expression $(3x-2)(2x+5)$ using the distributive property (also known as the FOIL method).

First, we multiply the first terms:

$(3x)(2x) = 6x^2$

Next, we multiply the outer terms:

$(3x)(5) = 15x$

Then, we multiply the inner terms:

$(-2)(2x) = -4x$

Finally, we multiply the last terms:

$(-2)(5) = -10$

Now, we add all these terms together:

$6x^2 + 15x - 4x - 10$

Combine the like terms $15x$ and $-4x$:

$15x - 4x = 11x$

So the expression becomes:

$6x^2 + 11x - 10$

3. Final Answer

$6x^2 + 11x - 10$