This equation is a perfect square trinomial, which can be factored as . This means that the solution to the equation is with a multiplicity of 2, indicating that the graph of the related function touches the x-axis at this point but does not cross it.

When solving quadratic equations like this, a common mistake is forgetting to check the discriminant. For , you calculate the discriminant with . If , the equation has no real solutions, and if , it has one real solution (like in this case!). Always double-check to avoid overlooking these scenarios!