Correct. Subtract $\displaystyle{{x}}^{{2}}\usepackage{cmbright}\Huge\$ from both sides: $\displaystyle{9}{{x}}^{{2}}-{6}{x}+{37}={0}\usepackage{cmbright}\Huge\$

Substitute $\displaystyle{a}={9},{b}=-{6}\usepackage{cmbright}\Huge\$ , and $\displaystyle{c}={37}\usepackage{cmbright}\Huge\$ into the Quadratic Formula: $\displaystyle{x}=\frac{{-{b}\pm\sqrt{{{{b}}^{{2}}-{4}{a}{c}}}}}{{{2}{a}}}\usepackage{cmbright}\Huge\$

$\displaystyle{x}=\frac{{-{\left(-{6}\right)}\pm\sqrt{{{{\left(-{6}\right)}}^{{2}}-{4}{\left({9}\right)}{\left({37}\right)}}}}}{{{2}\cdot{9}}}=\frac{{{6}\pm\sqrt{{{36}-{1},{332}}}}}{{18}}=\frac{{{6}\pm\sqrt{{-{1},{296}}}}}{{18}}\usepackage{cmbright}\Huge\$

$\displaystyle=\frac{{{6}\pm{36}{i}}}{{18}}=\frac{{6}}{{18}}\pm\frac{{36}}{{18}}{i}=\frac{{1}}{{3}}\pm{2}{i}\usepackage{cmbright}\Huge\$