Take the square root of each side of the equation to set up the solution for

Remove the perfect root factor under the radical to solve for .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

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

Move to the left of .

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

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

Subtract from both sides of the equation.

Reorder and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

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

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

Subtract from both sides of the equation.

Reorder and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify each term.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

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

Solve Using the Square Root Property (2y+3)^2=-49