Solve for w.

Question

w2+46w=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=

Answer 1

To solve the equation \( w^2 + 46w = 0 \), we can factor the left-hand side:

\[ w(w + 46) = 0 \]

Setting each factor equal to zero gives us:

1. \( w = 0 \)
2. \( w + 46 = 0 \) which simplifies to \( w = -46 \)

Thus, the solutions are:

\[ w = 0, -46 \]

So the final answer is:

\[ w = 0, -46 \]