Solve by factoring: X^2-3x-18=0

Step-by-step explanation:

We begin with

To factor this, we need to look for two things:

Two numbers that add together to get and two numbers that multiply together to get .

One method to find the answer is to write out each of the solutions to the multiplication and then check the sum of each of those digits:

The numbers that multiply together to get are:

1 and -18

-1 and 18

2 and -9

-2 and 9

3 and -6

-3 and 6

Now, we can add each of these pairs of digits together to find which one gives us an answer of

From this, we can see that 3 and -6 gave us the result of -3. This means that these are the two factors.

To get our answer from this, we need to put our answer in the form of

This gives us the factored form of

To solve this equation, we must make either parenthesis equal to zero. This means that our solutions will be

step-by-step explanation:

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