186k views
0 votes
Factor x^2+7x+10=0 plz

User HCL
by
8.4k points

1 Answer

1 vote

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

User Omiz
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories