# Algebra Examples

Step 1

Add to both sides of the equation.

Step 2

Remove the absolute value term. This creates a on the right side of the equation because .

Step 3

Step 3.1

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

Step 3.2

Subtract from both sides of the equation.

Step 3.3

Subtract from both sides of the equation.

Step 3.4

Use the quadratic formula to find the solutions.

Step 3.5

Substitute the values , , and into the quadratic formula and solve for .

Step 3.6

Simplify.

Step 3.6.1

Simplify the numerator.

Step 3.6.1.1

Raise to the power of .

Step 3.6.1.2

Multiply .

Step 3.6.1.2.1

Multiply by .

Step 3.6.1.2.2

Multiply by .

Step 3.6.1.3

Subtract from .

Step 3.6.2

Multiply by .

Step 3.6.3

Simplify .

Step 3.7

Simplify the expression to solve for the portion of the .

Step 3.7.1

Simplify the numerator.

Step 3.7.1.1

Raise to the power of .

Step 3.7.1.2

Multiply .

Step 3.7.1.2.1

Multiply by .

Step 3.7.1.2.2

Multiply by .

Step 3.7.1.3

Subtract from .

Step 3.7.2

Multiply by .

Step 3.7.3

Simplify .

Step 3.7.4

Change the to .

Step 3.8

Simplify the expression to solve for the portion of the .

Step 3.8.1

Simplify the numerator.

Step 3.8.1.1

Raise to the power of .

Step 3.8.1.2

Multiply .

Step 3.8.1.2.1

Multiply by .

Step 3.8.1.2.2

Multiply by .

Step 3.8.1.3

Subtract from .

Step 3.8.2

Multiply by .

Step 3.8.3

Simplify .

Step 3.8.4

Change the to .

Step 3.9

The final answer is the combination of both solutions.

Step 3.10

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

Step 3.11

Simplify .

Step 3.11.1

Apply the distributive property.

Step 3.11.2

Multiply by .

Step 3.12

Add to both sides of the equation.

Step 3.13

Add to both sides of the equation.

Step 3.14

Use the quadratic formula to find the solutions.

Step 3.15

Substitute the values , , and into the quadratic formula and solve for .

Step 3.16

Simplify.

Step 3.16.1

Simplify the numerator.

Step 3.16.1.1

Raise to the power of .

Step 3.16.1.2

Multiply .

Step 3.16.1.2.1

Multiply by .

Step 3.16.1.2.2

Multiply by .

Step 3.16.1.3

Subtract from .

Step 3.16.2

Multiply by .

Step 3.17

Simplify the expression to solve for the portion of the .

Step 3.17.1

Simplify the numerator.

Step 3.17.1.1

Raise to the power of .

Step 3.17.1.2

Multiply .

Step 3.17.1.2.1

Multiply by .

Step 3.17.1.2.2

Multiply by .

Step 3.17.1.3

Subtract from .

Step 3.17.2

Multiply by .

Step 3.17.3

Change the to .

Step 3.17.4

Rewrite as .

Step 3.17.5

Factor out of .

Step 3.17.6

Factor out of .

Step 3.17.7

Move the negative in front of the fraction.

Step 3.18

Simplify the expression to solve for the portion of the .

Step 3.18.1

Simplify the numerator.

Step 3.18.1.1

Raise to the power of .

Step 3.18.1.2

Multiply .

Step 3.18.1.2.1

Multiply by .

Step 3.18.1.2.2

Multiply by .

Step 3.18.1.3

Subtract from .

Step 3.18.2

Multiply by .

Step 3.18.3

Change the to .

Step 3.18.4

Rewrite as .

Step 3.18.5

Factor out of .

Step 3.18.6

Factor out of .

Step 3.18.7

Move the negative in front of the fraction.

Step 3.19

The final answer is the combination of both solutions.

Step 3.20

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

Step 4

The result can be shown in multiple forms.

Exact Form:

Decimal Form: