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 is the first step taken to solve the equation involving X?

What problem arises when trying to take the square root of a negative number?

How is the negative number simplified in the context of the equation?

What is the final expression for X after simplifying the radical?

How can the roots be rewritten in factored form?