Regroup terms.
\[27{x}^{2}-3=0\]
Add \(3\) to both sides.
\[27{x}^{2}=3\]
Divide both sides by \(27\).
\[{x}^{2}=\frac{3}{27}\]
Simplify \(\frac{3}{27}\) to \(\frac{1}{9}\).
\[{x}^{2}=\frac{1}{9}\]
Take the square root of both sides.
\[x=\pm \sqrt{\frac{1}{9}}\]
Simplify \(\sqrt{\frac{1}{9}}\) to \(\frac{\sqrt{1}}{\sqrt{9}}\).
\[x=\pm \frac{\sqrt{1}}{\sqrt{9}}\]
Simplify \(\sqrt{1}\) to \(1\).
\[x=\pm \frac{1}{\sqrt{9}}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[x=\pm \frac{1}{3}\]
Decimal Form: ±0.333333
x=1/3,-1/3
