Question

Factor x^2+7x+10=0 plz

Answer 1

Given:

`x^2+7x+10=0`

Since the quadratic equation is equal to 0, we need to solve for x. Let's factor. Since a ≠ 1, we can easily solve. We need to find out what factors of 10 add up to 7. I know that 5*2 = 10 and 5+2 = 7. This fits out problem perfectly. Now that we have that, we can simplify it into two binomials:

`(x+2)(x+5)`

Now, if it was not equal to zero, we would be done. However, we are not done. We need to set both terms equal to 0 to solve for x.

`x+2=0`

To isolate x, subtract 2 from both sides to cancel the +2 on the left.

`x=-2`

Let's do the other one:

`x+5=0`

Same thing, subtract 5 from both sides to isolate x.

`x=-5`

So, in conclusion, your solutions are:

`x=-2`

`x=-5`