-2g(g^2-2g+2)=0

Solution for -2g(g^2-2g+2)=0 equation:

Simplifying
-2g(g2 + -2g + 2) = 0

Reorder the terms:
-2g(2 + -2g + g2) = 0
(2 * -2g + -2g * -2g + g2 * -2g) = 0
(-4g + 4g2 + -2g3) = 0

Solving
-4g + 4g2 + -2g3 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2g'.
2g(-2 + 2g + -1g2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(-2 + 2g + -1g2)' equal to zero and attempt to solve:

Simplifying
-2 + 2g + -1g2 = 0

Solving
-2 + 2g + -1g2 = 0

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

Divide each side by '-1'.
2 + -2g + g2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2g + -2 + g2 = 0 + -2

Reorder the terms:
2 + -2 + -2g + g2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2g + g2 = 0 + -2
-2g + g2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2g + g2 = -2

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

Add '1' to each side of the equation.
-2g + 1 + g2 = -2 + 1

Reorder the terms:
1 + -2g + g2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2g + g2 = -1

Factor a perfect square on the left side:
(g + -1)(g + -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
g = {0}