Solve for q.

Question

q(q + 4) = 0

Write your answers as integers or as proper or improper fractions in simplest form.

q =
or q =

Answer 1

To solve the equation \( q(q + 4) = 0 \), we can use the property that if a product of two factors equals zero, then at least one of the factors must be equal to zero.

This gives us two equations to consider:

1. \( q = 0 \)
2. \( q + 4 = 0 \)

Now, solving the second equation:

\[ q + 4 = 0 \] \[ q = -4 \]

Thus, the solutions to the equation \( q(q + 4) = 0 \) are:

\[ q = 0 \quad \text{or} \quad q = -4 \]

So, the final answers are:

\[ q = 0 \quad \text{or} \quad q = -4 \]