Solve the absolute value equation $$ |2 n|=0 $$

Question

UpStudy AI · Accepted Answer

To solve the absolute value equation:

$$
|2n| = 0
$$

**Step 1:** Understand the absolute value property.

The absolute value of a number is always non-negative. Specifically, for any real number $$ x $$:

$$
|x| \geq 0
$$

The absolute value equals zero only when the expression inside is zero:

$$
|x| = 0 \quad \text{if and only if} \quad x = 0
$$

**Step 2:** Apply this property to the given equation.

Given:

$$
|2n| = 0
$$

According to the absolute value property:

$$
2n = 0
$$

**Step 3:** Solve for $$ n $$.

$$
2n = 0 \
n = \frac{0}{2} \
n = 0
$$

**Conclusion:**

The solution to the equation $$ |2n| = 0 $$ is:

$$
n = 0
$$
$$ n = 0 $$

Solve the absolute value equation