Solve 2x² + 5x + 3

Step-by-step solution

1. Identify $a = 2$, $b = 5$, $c = 3$. Compute $ac = 6$.

2. Find two numbers multiplying to $6$ and adding to $5$: $(2, 3)$.

3. Split middle term: $2x^2 + 2x + 3x + 3$.

4. Factor by grouping: $2x(x + 1) + 3(x + 1) = (2x + 3)(x + 1)$.