Simplify \(0x\) to \(0\).
\[500=0+\frac{1}{2}\times 10{x}^{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[500=0+\frac{1\times 10{x}^{2}}{2}\]
Simplify \(1\times 10{x}^{2}\) to \(10{x}^{2}\).
\[500=0+\frac{10{x}^{2}}{2}\]
Simplify \(\frac{10{x}^{2}}{2}\) to \(5{x}^{2}\).
\[500=0+5{x}^{2}\]
Simplify \(0+5{x}^{2}\) to \(5{x}^{2}\).
\[500=5{x}^{2}\]
Divide both sides by \(5\).
\[\frac{500}{5}={x}^{2}\]
Simplify \(\frac{500}{5}\) to \(100\).
\[100={x}^{2}\]
Take the square root of both sides.
\[\pm \sqrt{100}=x\]
Since \(10\times 10=100\), the square root of \(100\) is \(10\).
\[\pm 10=x\]
Switch sides.
\[x=\pm 10\]
x=10,-10
