Solve the equation: 5X^2+10x=0

Question

So I need help with my math homework, like pronto!!!!!!!!!!!!!!!!!!!

Please?!

Answer 1

Hello, thank you for taking the time to post your question!

The idea on this type of question is that you want to start by factoring out any common terms. For this question that means

5x^2 + 10x = 0

5x(x + 2) = 0

meaning that the solutions are

x = 0    and    x = -2

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

First, think if there is a GCF (Greatest Common Factor) that you can take out of 5x^2 + 10x. 

The GCF will be 5x. You will now have    5x (x + 2) = 0

For 5x times (x+2) to equal zero, either one or both of these has to be equal to zero. If 5x = 0, that means x=0. If x+2 = 0, that means that x=-2. 

There are two answers to this problem: x = 0 or -2 

(When you substitute these values back into the original equation, you can see that you get 0=0)