# Algebra Examples

Step 1

Add to both sides of the equation.

Step 2

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .

Step 3

Add the term to each side of the equation.

Step 4

Step 4.1

Simplify the left side.

Step 4.1.1

Simplify each term.

Step 4.1.1.1

Use the power rule to distribute the exponent.

Step 4.1.1.1.1

Apply the product rule to .

Step 4.1.1.1.2

Apply the product rule to .

Step 4.1.1.2

Raise to the power of .

Step 4.1.1.3

Multiply by .

Step 4.1.1.4

Raise to the power of .

Step 4.1.1.5

Raise to the power of .

Step 4.2

Simplify the right side.

Step 4.2.1

Simplify .

Step 4.2.1.1

Simplify each term.

Step 4.2.1.1.1

Use the power rule to distribute the exponent.

Step 4.2.1.1.1.1

Apply the product rule to .

Step 4.2.1.1.1.2

Apply the product rule to .

Step 4.2.1.1.2

Raise to the power of .

Step 4.2.1.1.3

Multiply by .

Step 4.2.1.1.4

Raise to the power of .

Step 4.2.1.1.5

Raise to the power of .

Step 4.2.1.2

To write as a fraction with a common denominator, multiply by .

Step 4.2.1.3

Combine and .

Step 4.2.1.4

Combine the numerators over the common denominator.

Step 4.2.1.5

Simplify the numerator.

Step 4.2.1.5.1

Multiply by .

Step 4.2.1.5.2

Add and .

Step 5

Factor the perfect trinomial square into .

Step 6

Step 6.1

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

Step 6.2

Simplify .

Step 6.2.1

Rewrite as .

Step 6.2.2

Simplify the denominator.

Step 6.2.2.1

Rewrite as .

Step 6.2.2.2

Pull terms out from under the radical, assuming positive real numbers.

Step 6.3

Add to both sides of the equation.

Step 7

The result can be shown in multiple forms.

Exact Form:

Decimal Form: