Question 79121
{{{x^2-9x-4=6}}}


{{{x^2-9x-4-6=6-6}}} Subtract 6 from both sides


{{{x^2-9x-10=0}}} Combine like terms


Now lets factor

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*[invoke quadratic_factoring 1, -9, -10]


So {{{x^2-9x-10=0}}} factors to


{{{(x+1)(x-10)=0}}}

Now set each factor equal to zero
Let x+1 equal zero
{{{x+1=0}}}
{{{x=-1}}}
Now let x-10 equal zero
{{{x-10=0}}}
{{{x=10}}}

So our solution is 

{{{x=-1}}} or {{{x=10}}}