Algebra Examples

$3 | x | = 0$

Step 1

Divide each term in $3 | x | = 0$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 | x | = 0$ by $3$ .

$\frac{3 | x |}{3} = \frac{0}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 | x |}{3} = \frac{0}{3}$

Step 1.2.1.2

Divide $| x |$ by $1$ .

$| x | = \frac{0}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $3$ .

$| x | = 0$

Step 2

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

$x = \pm 0$

Step 3

Plus or minus $0$ is $0$ .

$x = 0$