Basic Math Examples

$5 = | d - 4 |$

Step 1

Rewrite the equation as $| d - 4 | = 5$ .

$| d - 4 | = 5$

Step 2

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

$d - 4 = \pm 5$

Step 3

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

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Step 3.1

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

$d - 4 = 5$

Step 3.2

Move all terms not containing $d$ to the right side of the equation.

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Step 3.2.1

Add $4$ to both sides of the equation.

$d = 5 + 4$

Step 3.2.2

Add $5$ and $4$ .

$d = 9$

Step 3.3

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

$d - 4 = - 5$

Step 3.4

Move all terms not containing $d$ to the right side of the equation.

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Step 3.4.1

Add $4$ to both sides of the equation.

$d = - 5 + 4$

Step 3.4.2

Add $- 5$ and $4$ .

$d = - 1$

Step 3.5

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

$d = 9, - 1$