9w(-2w^2+4w-4)=0

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Solution for 9w(-2w^2+4w-4)=0 equation: 


Simplifying
9w(-2w2 + 4w + -4) = 0

Reorder the terms:
9w(-4 + 4w + -2w2) = 0
(-4 * 9w + 4w * 9w + -2w2 * 9w) = 0
(-36w + 36w2 + -18w3) = 0

Solving
-36w + 36w2 + -18w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '18w'.
18w(-2 + 2w + -1w2) = 0

Ignore the factor 18.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

Move all terms containing w to the left, all other terms to the right.

Simplifying
w = 0

Subproblem 2
Set the factor '(-2 + 2w + -1w2)' equal to zero and attempt to solve:

Simplifying
-2 + 2w + -1w2 = 0

Solving
-2 + 2w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2w + w2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2w + -2 + w2 = 0 + -2

Reorder the terms:
2 + -2 + -2w + w2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2w + w2 = 0 + -2
-2w + w2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2w + w2 = -2

The w term is -2w.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2w + 1 + w2 = -2 + 1

Reorder the terms:
1 + -2w + w2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2w + w2 = -1

Factor a perfect square on the left side:
(w + -1)(w + -1) = -1

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.
Solution
w = {0}

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