Question 288141
Solve for x by completing the square:
{{{x^2+6x = 2}}} Complete the square in x on the left side by adding the square of half the x-coefficient to both sides of the equation. Add {{{(6/2)^2 = 9}}}.
{{{x^2+6x+9 = 2+9}}} Factor the left side and simplify the right side.
{{{(x+3)^2 = 11}}} Take the square root of both sides.
{{{x+3 = sqrt(11)}}} or {{{x+3 = -sqrt(11)}}} Subtract 3 from both sides in each solution.
{{{x = -3+sqrt(11)}}} or {{{x = -3-sqrt(11)}}}