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

Ask by Higgins Burgess. in the United States
Mar 05,2025

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The solutions are \( x = 0 \) and \( x = -4 \).

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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!

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