Question 115562
{{{x^2=25}}} Start with the given equation



{{{x^2-25=0}}} Move all of the terms to the left side



{{{(x+5)(x-5)=0}}} Factor the left side (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)




Now set each factor equal to zero:

{{{x+5=0}}} or  {{{x-5=0}}} 


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



So our answer is 

 {{{x=-5}}} or  {{{x=5}}} 



Notice if we graph {{{y=x^2-25}}} we can see that the roots are {{{x=-5}}} and  {{{x=5}}} . So this visually verifies our answer.



{{{ graph(500,500,-10,10,-10,10,0, x^2-25) }}}