Question 48261
Presumably you are being asked to solve for x.
{{{6x+x^2 = 27}}} (You don't need the 1 in front of the {{{x^2}}}). Subtract 27 from both sides of the equation.
{{{x^2+6x-27 = 0}}} Solve this quadratic equation by factoring.
{{{x^2+6x-27 = (x-9)(x+3)}}}
{{{(x-9)(x+3) = 0}}} Apply the zero product principle.
{{{x-9 = 0}}} and/or {{{x+3 = 0}}}
If {{{x-9 = 0}}} then {{{x = 9}}}
If {{{x+3 = 0}}} then {{{x = -3}}}

The roots are:
x = 9
x = -3