w^2-6w+27=0

Solution for w^2-6w+27=0 equation:

Simplifying
w2 + -6w + 27 = 0

Reorder the terms:
27 + -6w + w2 = 0

Solving
27 + -6w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + -6w + -27 + w2 = 0 + -27

Reorder the terms:
27 + -27 + -6w + w2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -6w + w2 = 0 + -27
-6w + w2 = 0 + -27

Combine like terms: 0 + -27 = -27
-6w + w2 = -27

The w term is -6w.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6w + 9 + w2 = -27 + 9

Reorder the terms:
9 + -6w + w2 = -27 + 9

Combine like terms: -27 + 9 = -18
9 + -6w + w2 = -18

Factor a perfect square on the left side:
(w + -3)(w + -3) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.