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 .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

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

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

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

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

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

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Solve for v (5v-3)^2=50