Question
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Tutor-Verified Answer
Answer
The solutions are \( w = 0 \) or \( w = 36 \).
Solution
1. Factor the equation:
\[
w^2 - 36w = w(w - 36)
\]
2. Set each factor equal to zero:
\[
w = 0 \quad \text{or} \quad w - 36 = 0
\]
3. Solve for \( w \) in the second equation:
\[
w = 36
\]
Thus, the solutions are:
\[
w = 0 \quad \text{or} \quad w = 36
\]
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Simplify this solution Mind Expander
To solve the equation \( w^{2} - 36w = 0 \), you can factor out the common term \( w \): \[ w(w - 36) = 0. \] Now, set each factor equal to zero: 1. \( w = 0 \) 2. \( w - 36 = 0 \) which gives \( w = 36 \) Thus, the solutions are \( w = 0 \) and \( w = 36 \).
