x^2 +3x +29 = 0
To complete the square:
Move "non-x" term to the right
x^2 +3x = -29
Divide equation by coefficient of x^2
(the equation already had the x^2 coefficient as 1)
Take coefficient of x
divide it by 2
square it
add it to both sides of equation
3
3/2 = 1.5
1.5^2 = 2.25
x^2 +3x +2.25 = -29 +2.25
Taking square root of both sides
(x +1.5) = sq root( -26.75 )
square roots of negative numbers are complex (I don't know how to do that).