2(g-3)+g(2-g)=2-g

Solution for 2(g-3)+g(2-g)=2-g equation:

Simplifying
2(g + -3) + g(2 + -1g) = 2 + -1g

Reorder the terms:
2(-3 + g) + g(2 + -1g) = 2 + -1g
(-3 * 2 + g * 2) + g(2 + -1g) = 2 + -1g
(-6 + 2g) + g(2 + -1g) = 2 + -1g
-6 + 2g + (2 * g + -1g * g) = 2 + -1g
-6 + 2g + (2g + -1g2) = 2 + -1g

Combine like terms: 2g + 2g = 4g
-6 + 4g + -1g2 = 2 + -1g

Solving
-6 + 4g + -1g2 = 2 + -1g

Solving for variable 'g'.

Reorder the terms:
-6 + -2 + 4g + g + -1g2 = 2 + -1g + -2 + g

Combine like terms: -6 + -2 = -8
-8 + 4g + g + -1g2 = 2 + -1g + -2 + g

Combine like terms: 4g + g = 5g
-8 + 5g + -1g2 = 2 + -1g + -2 + g

Reorder the terms:
-8 + 5g + -1g2 = 2 + -2 + -1g + g

Combine like terms: 2 + -2 = 0
-8 + 5g + -1g2 = 0 + -1g + g
-8 + 5g + -1g2 = -1g + g

Combine like terms: -1g + g = 0
-8 + 5g + -1g2 = 0

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

Divide each side by '-1'.
8 + -5g + g2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5g + -8 + g2 = 0 + -8

Reorder the terms:
8 + -8 + -5g + g2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5g + g2 = 0 + -8
-5g + g2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5g + g2 = -8

The g term is -5g.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5g + 6.25 + g2 = -8 + 6.25

Reorder the terms:
6.25 + -5g + g2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5g + g2 = -1.75

Factor a perfect square on the left side:
(g + -2.5)(g + -2.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.