Question 62570
{{{sqrt(5x-2)+8=0}}}
{{{sqrt(5x-2)+8-8=0-8}}}
{{{sqrt(5x-2)=-8}}}
{{{(sqrt(5x-2))^2=(-8)^2}}}
{{{5x-2=64}}}
{{{5x-2+2=64+2}}}
{{{5x=66}}}
{{{5x/5=66/5}}}
{{{x=66/5}}}
Check for extraneous solutions.
{{{sqrt(5(66/5)-2)+8=0}}}
{{{sqrt(66-2)+8=0}}}
{{{sqrt(64)+8=0}}}
{{{8+8=0}}}
{{{16=0}}}   x=66/5 is extraneous, this has no solution.
Happy Calculating!!!