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Solve for w.

w2–8w=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
w=

1 answer

To solve the equation \( w^2 - 8w = 0 \), we can factor it:

  1. Factor out \( w \): \[ w(w - 8) = 0 \]

  2. Set each factor equal to zero: \[ w = 0 \quad \text{or} \quad w - 8 = 0 \]

  3. Solve for \( w \) in each case:

    • From \( w = 0 \), we have one solution: \( w = 0 \).
    • From \( w - 8 = 0 \), we find \( w = 8 \).

Thus, the solutions are: \[ w = 0, 8 \]

So, the final answer is: \[ w = 0, 8 \]