By one-to-one property,

\(\displaystyle{n}^{{2}}+{12}=−{9}{n}−{2}\)

Solve for nn. Isoalte the terms on one side:

\(\displaystyle{n}^{{2}}+{9}{n}+{14}={0}\)

Factor:

(n+7)(n+2)=0

By zero product property,

n=−7,−2

\(\displaystyle{n}^{{2}}+{12}=−{9}{n}−{2}\)

Solve for nn. Isoalte the terms on one side:

\(\displaystyle{n}^{{2}}+{9}{n}+{14}={0}\)

Factor:

(n+7)(n+2)=0

By zero product property,

n=−7,−2