First isolate all terms with x to one side and keep all other terms on the other side.

To this end, multiple both sides of the equation by c.

This gives

.

Then factor x out of the right side of the equation to get

.

Finally, divide both sides of the equation by  to get the answer.

The common factor in this problem is only , because each number in this term share the same factor.  

By pulling this term out of the expression, we need to find , , and  that would match the terms of the problem.

Determine .  Divide by  on both sides.

Determine .

Determine .

Resubstitute the variables.

This means that .

The answer is:  

To factor a polynomial, first express the polynomial in the form .  Then, if , you need to find factors of  that add up to .  Your answer will use those factors.  The best answer for the equation above is:

To factor a polynomial, first express the polynomial in the form .  Then, if , you need to find factors of  that add up to .  Your answer will use those factors.  The best answer for the equation above is:

To factor a polynomial, first express the polynomial in the form .  Then, if , you need to find factors of  that add up to b.  Your answer will use those factors.  The best answer for the equation above is:

To factor a polynomial, first express the polynomial in the form .  Then, if , you need to find factors of  that add up to b.  Your answer will use those factors.  The best answer for the equation above is:

To factor a polynomial, first express the polynomial in the form .  Then, if , you need to find factors of  that add up to b.  Your answer will use those factors.  The best answer for the equation above is:

When factoring a polynomial, you have to determine the numbers that when multiplied together will equal the last term of the polynomial but when added together will equal the second term of the polynomial. 

The only factors of 9 are (1,3,9). The trick in this question is that the last term is positive, but the middle term is negative. The only way to achieve this is to make both of the factors negative, so when multiplied together they equal a positive. 

To factor a quadratic trinomial, list factors of the quadratic  term and the constant (no variables) term, then combine them into binomials that when multiplied back out will give the original trinomial.

Here, the quadratic term has only one factorization: .

The constant term has factorizations of  and .

We know the constant term is positive, so the binomials both have the same operation in them (adding or subtracting), since a positive times a positive OR a negative times a negative will both give a positive result.

But since the middle term  is negative, both binomial factors must contain subtraction. And .

To factor a quadratic trinomial, list factors of the quadratic  term and the constant (no variables) term, then combine them into binomials that when multiplied back out will give the original trinomial.

Here, the quadratic term has only one factorization: .

The constant term has factorizations of  and .

We know the constant term is negative, so the binomials have a different operation in each (adding or subtracting), since a positive times a negative will give a negative result.

Since the middle term  is negative, we need the "larger" factor to "outweigh" the "smaller" by , and be negative.