Since the radical is on the right side of the equation, switch the sides so it is on the left side of the equation.

To remove the radical on the left side of the equation, square both sides of the equation.

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from both sides of the equation.

Factor the left side of the equation.

Factor out of .

Reorder the expression.

Move .

Reorder and .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Factor using the perfect square rule.

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Set the equal to .

Add to both sides of the equation.

Solve for x x=2 square root of 6x-36