Question 147534
{{{9x(x-6)=-45}}} Start with the given equation.



{{{9x^2-54x=-45}}} Distribute



{{{9x^2-54x+45=0}}} Add 45 to both sides.



{{{9(x-5)(x-1)=0}}} Factor the left side 




Now set each factor equal to zero:

{{{x-5=0}}} or  {{{x-1=0}}} 


{{{x=5}}} or  {{{x=1}}}    Now solve for x in each case



So our answers are 


 {{{x=5}}} or  {{{x=1}}}