Solve the equation by factoring

x = 0, or x = 7, or x= 9

Step-by-step explanation:

Start by extracting all common factors of the polynomial expression on the left  (in our case the only common factor to all terms is "x"):

Now, let's focus on writing the trinomial in parentheses in factor form by finding two integer numbers whose product is 63, and that combined give -16.

The pair of two numbers that satisfy these requirements are: -7, and -9

Let's use them to split the term in "x" (the linear term of the trinomial), and then use factoring by grouping to completely factor the trinomial:

So now we use these two factors in the original equation to replace the quadratic trinomial :

In order for a product of these three factors to give zero, we need at least one of them to be zero. That is:

x = 0, or x = 7, or x= 9

Therefore these three values are solutions to the original equation.

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation: