Solve a quadratic then write in factored form

The video tutorial explains how to solve an equation involving a negative square root. It begins by setting up the equation and identifying the problem of taking the square root of a negative number. The instructor then demonstrates how to handle this by introducing complex numbers, specifically the imaginary unit 'i'. The expression is simplified using radicals, and the final solution is presented in factored form, highlighting the use of complex roots.

What new insight or understanding did you gain from this video?