Basic Math Examples

$\frac{| z |}{5} = 3$

Step 1

Multiply both sides of the equation by $5$ .

$5 \frac{| z |}{5} = 5 \cdot 3$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $5$ .

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Step 2.1.1.1

Cancel the common factor.

$5 \frac{| z |}{5} = 5 \cdot 3$

Step 2.1.1.2

Rewrite the expression.

$| z | = 5 \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $5$ by $3$ .

$| z | = 15$

Step 3

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

$z = \pm 15$

Step 4

The complete solution is the result of both the positive and negative portions of the solution.

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Step 4.1

First, use the positive value of the $\pm$ to find the first solution.

$z = 15$

Step 4.2

Next, use the negative value of the $\pm$ to find the second solution.

$z = - 15$

Step 4.3

The complete solution is the result of both the positive and negative portions of the solution.

$z = 15, - 15$