Solve for x 6|x|=0

$6 | x | = 0$

Divide each term in $6 | x | = 0$ by $6$ and simplify.

Divide each term in $6 | x | = 0$ by $6$ .

$\frac{6 | x |}{6} = \frac{0}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 | x |}{6} = \frac{0}{6}$

Divide $| x |$ by $1$ .

$| x | = \frac{0}{6}$

Simplify the right side.

Divide $0$ by $6$ .

$| x | = 0$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$x = \pm 0$

Plus or minus $0$ is $0$ .

$x = 0$