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[tex] - \frac{1}{2} {n}^{2} + 18 = 0 \\ [/tex]
Subtract sides 18
[tex] - \frac{1}{2} {n}^{2} + 18 - 18 = - 18 \\ [/tex]
[tex] - \frac{1}{2} {n}^{2} = - 18 \\ [/tex]
Negatives simplifies
[tex] \frac{1}{2} {n}^{2} = 18 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{1}{2} {n}^{2} = 2 \times 18 \\ [/tex]
[tex] {n}^{2} = 36[/tex]
Take √ of the sides
[tex] \sqrt{ {n}^{2} } = \sqrt{36} \\ [/tex]
[tex] |n| = 6[/tex]
[tex]n = ± \: 6[/tex]
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