You can
put this solution on YOUR website!9x^2 - 18x = -3
We want the coefficient of x^2 to 1, divide equation by 9
x^2 - 2x =

x^2 - 2x =

x^2 - 2x ____ =

Find the 3rd term to complete the square (-2/2)^2 +1
x^2 - 2x + 1 =

+ 1; add 1 to both sides
x^2 - 2x + 1 =

+

x^2 - 2x + 1 =

Which is:
(x - 1)^2 =

Find the square root of both sides
x - 1 = +/-

Two solutions
x = 1 +

And
x = 1 -

:
How about this? Did it make sense to you?