3w^2-9w+9=0

Solution for 3w^2-9w+9=0 equation:

Simplifying
3w2 + -9w + 9 = 0

Reorder the terms:
9 + -9w + 3w2 = 0

Solving
9 + -9w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -3w + w2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + -3w + w2)' equal to zero and attempt to solve:

Simplifying
3 + -3w + w2 = 0

Solving
3 + -3w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3w + -3 + w2 = 0 + -3

Reorder the terms:
3 + -3 + -3w + w2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3w + w2 = 0 + -3
-3w + w2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3w + w2 = -3

The w term is -3w.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3w + 2.25 + w2 = -3 + 2.25

Reorder the terms:
2.25 + -3w + w2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3w + w2 = -0.75

Factor a perfect square on the left side:
(w + -1.5)(w + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.