Question 176327
{{{x^2-4/9=0}}} Start with the given equation.



{{{9(x^2-4/cross(9))=9(0)}}} Multiply both sides by the LCD {{{9}}} to clear any fractions.



{{{9x^2-4=0}}} Distribute and multiply.



{{{(3x+2)(3x-2)=0}}} Factor the left side (by using the difference of squares formula)




Now set each factor equal to zero:



{{{3x+2=0}}} or  {{{3x-2=0}}} 




{{{x=-2/3}}} or  {{{x=2/3}}}    Now solve for x in each case



So the answers are 


 {{{x=-2/3}}} or  {{{x=2/3}}}