What values of $$ a $$ satisfy the equation $$ (a - 5)(a + 1) = 0 $$?

Question

UpStudy AI · Accepted Answer

To find the values of $$ a $$ that satisfy the equation:

$$
(a - 5)(a + 1) = 0
$$

we can use the **Zero Product Property**, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So, set each factor equal to zero and solve for $$ a $$:

1. **First Factor:**
   $$
   a - 5 = 0 \
   \Rightarrow a = 5
   $$

2. **Second Factor:**
   $$
   a + 1 = 0 \
   \Rightarrow a = -1
   $$

**Conclusion:**

The values of $$ a $$ that satisfy the equation are:

$$
a = 5 \quad \text{and} \quad a = -1
$$
The values of $$ a $$ that satisfy the equation are $$ a = 5 $$ and $$ a = -1 $$.

What values of satisfy the equation ?