Question 5290
{{{6x^2-25=0}}}
add 25 to both sides:
{{{6x^2=25}}}
Divide both sides by 6
{{{x^2=(25/6)}}}
take the squareroot of both sides:

{{{x= (+-sqrt(25/6))}}}
then rationalize the denominator by multiplying by {{{(sqrt(6))/(sqrt(6))}}}
{{{x=5*sqrt(6)/6}}} or {{{x=-5*sqrt(6)/6}}}