Solve for z.

Question

z2–45z=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
z=

Answer 1

To solve the equation \( z^2 - 45z = 0 \), we can factor the left-hand side:

\[ z(z - 45) = 0 \]

This equation has two factors, so we can set each factor to zero:

1. \( z = 0 \)
2. \( z - 45 = 0 \) which gives \( z = 45 \)

Therefore, the solutions to the equation are:

\[ z = 0, 45 \]

In conclusion, the solutions are:

\[ z = 0, 45 \]