Rewrite the equation as .

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.

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

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

Rewrite as .

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

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Combine and .

Multiply by .

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

Subtract from both sides of the equation.

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Apply the distributive property.

Multiply .

Multiply by .

Combine and .

Multiply by .

Move the negative in front of the fraction.

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 r 7000=5000(1+r/12)^120