SOLUTION: How would you solve the following equation by factoring and applying the Zero-Product Property? {{{5x^2-125=0}}} This is what I have tried: (5x+5)(x+-5) 5x+5=0 5x=-5 x=-1

Question 166126: How would you solve the following equation by factoring and applying the Zero-Product Property?

This is what I have tried:
(5x+5)(x+-5)
5x+5=0
5x=-5
x=-1
x+-5=0
x=5
Thank you so much!:D

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Factor out the GCF 5

Factor to get (note: use the difference of squares.)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answers are

or

RELATED QUESTIONS
How would you solve the following equation by factoring and applying the Zero-Product... (answered by MRperkins)

How would you solve the following equation by factoring and applying the Zero-Product... (answered by checkley77)

Solve the quadratic equation by factoring and applying the zero product principle.... (answered by Earlsdon,dawnhatch)

Solve the quadratic equation below by factoring and applying the zero product principle.... (answered by ankor@dixie-net.com)

the instructions state: Solve the Quatractic equation by factoring and using the... (answered by richwmiller)

Please solve the following problem by using factoring and the zero-product property . (answered by jorel1380,josgarithmetic)

Solve the equation by the method of factoring. Use the factoring technique ac method and (answered by Alan3354)

I have to solve the equation by factoring first and then applying the zero product... (answered by Earlsdon,stanbon)