\[
-x^{2}-8 x=0
\]
Factored Form
Real Number Solutions

Answer

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Answer

\(\boxed{x = 0, -8}\)

Steps

Step 1 ：Solve the quadratic equation \(-x^2 - 8x = 0\) by factoring.

Step 2 ：Factor out an x: \(-x(x + 8) = 0\)

Step 3 ：Set each factor equal to zero: \(-x = 0\) and \(x + 8 = 0\)

Step 4 ：Solve for x: \(x = 0\) and \(x = -8\)

Step 5 ：\(\boxed{x = 0, -8}\)