Basic Math Examples

$2 | 4 u | = 0$

Step 1

Divide each term in $2 | 4 u | = 0$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 | 4 u | = 0$ by $2$ .

$\frac{2 | 4 u |}{2} = \frac{0}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 | 4 u |}{2} = \frac{0}{2}$

Step 1.2.1.2

Divide $| 4 u |$ by $1$ .

$| 4 u | = \frac{0}{2}$

Step 1.2.2

Remove non-negative terms from the absolute value.

$4 | u | = \frac{0}{2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $0$ by $2$ .

$4 | u | = 0$

Step 2

Divide each term in $4 | u | = 0$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 | u | = 0$ by $4$ .

$\frac{4 | u |}{4} = \frac{0}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 | u |}{4} = \frac{0}{4}$

Step 2.2.1.2

Divide $| u |$ by $1$ .

$| u | = \frac{0}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $4$ .

$| u | = 0$

Step 3

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

$u = \pm 0$

Step 4

Plus or minus $0$ is $0$ .

$u = 0$