x^2 + 6x + 9 = -192 is the intermediate step using the completing the square method.
The intermediate step for the equation x^2 + 6x = -201 involves completing the square:
Express the equation as x^2 + bx + c, for example, x^2 + 6x + () = -201 + ().
Find the term that is constant (c):
Here, c = -201
Square the half of the coefficient of x. Within the parenthesis, add and subtract this amount: x^2 + 6x + (9) = -201 + (9)
Factor the trinomial in perfect squares: (x + 3)^2 = -192
x^2 + 6x + 9 = -192 is the intermediate step using the completing the square method.
You can now solve for x because you have a perfect square trinomial on the left side.