Algebra Examples

| 7 + p | = 7

$| 7 + p | = 7$

Step 1

Remove the absolute value term. This creates a

\pm

$\pm$ on the right side of the equation because

| x | = \pm x

$| x | = \pm x$ .

7 + p = \pm 7

$7 + p = \pm 7$

Step 2

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

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Step 2.1

First, use the positive value of the

\pm

$\pm$ to find the first solution.

7 + p = 7

$7 + p = 7$

Step 2.2

Move all terms not containing

p

$p$ to the right side of the equation.

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Step 2.2.1

Subtract

7

$7$ from both sides of the equation.

p = 7 - 7

$p = 7 - 7$

Step 2.2.2

Subtract

7

$7$ from

7

$7$ .

p = 0

$p = 0$

p = 0

$p = 0$

Step 2.3

Next, use the negative value of the

\pm

$\pm$ to find the second solution.

7 + p = - 7

$7 + p = - 7$

Step 2.4

Move all terms not containing

p

$p$ to the right side of the equation.

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Step 2.4.1

Subtract

7

$7$ from both sides of the equation.

p = - 7 - 7

$p = - 7 - 7$

Step 2.4.2

Subtract

7

$7$ from

- 7

$- 7$ .

p = - 14

$p = - 14$

p = - 14

$p = - 14$

Step 2.5

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

p = 0, - 14

$p = 0, - 14$

p = 0, - 14

$p = 0, - 14$

| 7 + p | = 7

$| 7 + p | = 7$

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