To solve this problem algebraically, first recognize that the  term means you're dealing with a quadratic. To solve for a quadratic, perform the necessary algebra to set the equation equal to 0. Here that means subtracting 24 from each side to reach:

From here, remember that your goal when factoring a quadratic is to find terms that multiply to the last term (the numerical term) and sum to the middle term (the linear  term). That should lead you to:

Then the last, very critical step, is to set each parentheses equal to zero to officially solve the problem.  That means that:

 yields a solution of 

 yields a solution of 

Of those, only  is an answer, so  is correct.

Whenever you're working with a quadratic, your goal should be to move all terms to one side of the equation so that you can set it equal to zero. Here that means adding  to each side and subtracting  from each side to arrive at:

From there you can factor, looking for terms that sum to  and that multiply to . You should arrive at:

Then you have to set each parentheses equal to zero to finish solving.  That will give you:

 or  as possible solutions. Since the question asks for the sum, add those together to get the correct answer, .

Whenever you're facing a quadratic, your best move is to move all the terms to one side of the equation so you can set it to zero. Then you can factor (or apply the quadratic formula if needed). Here that means subtracting  and  from both sides of the given equation to reach:

Now you can factor, looking for terms that multiply to  and that sum to . That should lead you to:

To finish the job, you need to set each parentheses equal to zero. That means that the solutions to this equation are:

 and 

Since the question asks for the sum of those solutions, add them together to get your answer, .

Whenever you're working with a quadratic structure, you should look to move all terms to one side of the equation to set it to zero. This here means subtracting  from each side of the equation to get:

You can then factor the equation, looking for values that multiply to  and sum to . You should arrive at:

From here, you need to set each parenthetical term to zero, meaning that your answers are:

Of those, only  appears as an answer, so that answer is correct.

To solve this problem simply remove the parentheses and add the like terms:

To simplify, simply remove the parentheses and combine like terms:

To simplify, remove parentheses and combine like terms:

To simplify, remove parentheses and combine like terms, but make sure to distribute the negative across all terms in the second set of parentheses, changing the sign of each:

Then combine like terms:

To simplify, remove parentheses and combine like terms, remembering the ever-important step of applying the negative sign to each term within the second set of parentheses:

To simplify, remove parentheses and combine like terms, remember to distribute the negative (by changing each sign) for the terms in the second set of parentheses: