x^2+10x+16＝0
First, you find factors of 16.
1 x 16
2 x 8
4 x 4
Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.
Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.
x+2＝0
-2 -2
x＝-2
x+8＝0
-8 -8
x＝-8
So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.
