1. **State the problem:** Simplify or factor the quadratic expression $2x^2 + 5x + 0$. 2. **Identify the expression:** The expression is $2x^2 + 5x + 0$, which can be rewritten as $2x^2 + 5x$ since adding zero does not change the value. 3. **Factor the expression:** To factor, look for the greatest common factor (GCF) of the terms. 4. The GCF of $2x^2$ and $5x$ is $x$. 5. Factor out $x$: $$2x^2 + 5x = x(2x + 5)$$ 6. **Final answer:** The factored form of $2x^2 + 5x + 0$ is $x(2x + 5)$. This means the expression is zero when either $x=0$ or $2x+5=0$ (which gives $x=-\frac{5}{2}$).