33x^2=-11x
33x^2 = -11x
33x^2 + 11x = 0
x^2 + 1/3x = 0
Completing the square steps.
1/2 * 1/3 = 1/6
Add (1/6)^2
x^2 + 1/3x + (1/6)^2 = (1/6)^2
Factor the left side.
(x + 1/6)(x + 1/6) = (1/6)^2
Take the square root of both sides.
x + 1/6 = ± 1/6
x + 1/6 = 1/6 and x + 1/6 = -1/6
x = 1/6 - 1/6 x = -1/6 - 1/6
x = 0 x = -2/6
x = 0 and x = -1/3