[tex]-x^{2}+27=6x\\-x^{2}-6x+27=0[/tex]
Quadratic formula
[tex]\frac{-(-1)±\sqrt{6^{2}-4(-1)(27)}}{2(1)}[/tex]
[tex]\frac{1±\sqrt{36+108}}{2}[/tex]
[tex]\frac{1±\sqrt{144}}{2}[/tex]
[tex]\frac{1±12}{2}[/tex]
[tex]\frac{1+12}{2}=\frac{13}{2}=6.5\\\\\frac{1-12}{2}=\frac{11}{2}=-5.5[/tex]
6.5 or -5.5
