How do you solve 6sqrt((5k)/4)-3=0 and check your solution?

$k = \frac{1}{5}$
$6 \sqrt{\frac{5 k}{4}} - 3 = 0 \mathmr{and} 6 \sqrt{\frac{5 k}{4}} = 3 \mathmr{and} \sqrt{\frac{5 k}{4}} = \frac{3}{6} = \frac{1}{2}$
Squaring both sides we get $\frac{5 k}{\cancel{4}} = \frac{1}{\cancel{4}} \mathmr{and} 5 k = 1 \mathmr{and} k = \frac{1}{5}$[Ans]