00:01
This question asks us to solve this quadratic by factoring, and we can do something called product, sum, and guess to factor.
00:11
And before we begin, we just need to know what our a, b, and c terms are in this equation.
00:19
So our product is always going to be our a times our c term.
00:24
In this case, it's 2 times minus 5, which is minus 10.
00:28
And our sum is always going to be our b term, and in this case, it's nine.
00:35
And for our guest column, we have to think of two numbers that will multiply to our product, in this case, negative 10, and add to our sum, which in this case is nine.
00:49
And so now you just have to start listing off factors of 10.
00:54
So the first one that comes to my mind is 2 and 5, but in no way.
00:59
Way can tune 5 ever equal 9 and the only other factor would be 10 and 1 and if we make a 1 negative it will multiply to minus 10 but it also adds to positive 9 and now we can rewrite this equation we rewrite our 9x as our 2 factors so we can say 2x plus 10x times minus minus 1x minus 5 equals 0.
01:35
And now we have to find the greatest common factor of each of these parentheses.
01:42
So the greatest common factor in our first set of parentheses would be 2x, and when we factor out a 2x from both of these terms, we're left with x plus 5...