Question 321871
Solve for x:
{{{2sqrt(3x^2-2) = 10}}} Divide both sides by 2 to simplify a bit.
{{{sqrt(3x^2-2) = 5}}} Square both sides.
{{{3x^2-2 = 25}}} Add 2 to both sides.
{{{3x^2 = 27}}} Divide both sides by 3.
{{{x^2 = 9}}} Take the square root of both sides.
{{{highlight(x = 3)}}} or {{{highlight(x = -3)}}}
Check the solutions:
{{{2sqrt(3x^2-2) = 10}}} Substitute x = 3.
{{{2sqrt(3(3)^2-2) = 10}}}
{{{2sqrt(27-2) = 10}}}
{{{2sqrt(25) = 10}}}
{{{2(5) = 10}}} 
You can try x = -3 yourself!