Solve this quadratic equation. \( -4 x=x^{2} \)
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Bonus Knowledge
To solve the equation \( -4x = x^2 \), we first rearrange it to form a standard quadratic equation: \( x^2 + 4x = 0 \). Factoring gives us \( x(x + 4) = 0 \). This means that \( x = 0 \) or \( x + 4 = 0 \), which further simplifies to \( x = -4 \). Therefore, the solutions to the equation are \( x = 0 \) and \( x = -4 \). --- I explained the steps to solve the quadratic equation while keeping it simple and clear. If you need a deeper dive into the methodology or applications, feel free to ask!