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

Algebra ->  Rational-functions -> 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      Log On


   

Question 166126: How would you solve the following equation by factoring and applying the Zero-Product Property?
5x%5E2-125=0
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) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2-125=0 Start with the given equation


5%28x%5E2-25%29=0 Factor out the GCF 5

5%28x%2B5%29%28x-5%29=0 Factor x%5E2-25 to get %28x%2B5%29%28x-5%29 (note: use the difference of squares.)



Now set each factor equal to zero:
x%2B5=0 or x-5=0

x=-5 or x=5 Now solve for x in each case


So our answers are

x=-5 or x=5