Multiply both sides of the equation by .

Simplify .

Reduce the expression by cancelling the common factors.

Subtract from .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Add and .

Multiply by .

Move to the left side of the equation by subtracting it from both sides.

Subtract from .

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to .

Add to both sides of the equation.

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Solve for n ((n+4)(n+4-9))/2=26