3g-2(g+4)=g(g-1)

Solution for 3g-2(g+4)=g(g-1) equation:

Simplifying
3g + -2(g + 4) = g(g + -1)

Reorder the terms:
3g + -2(4 + g) = g(g + -1)
3g + (4 * -2 + g * -2) = g(g + -1)
3g + (-8 + -2g) = g(g + -1)

Reorder the terms:
-8 + 3g + -2g = g(g + -1)

Combine like terms: 3g + -2g = 1g
-8 + 1g = g(g + -1)

Reorder the terms:
-8 + 1g = g(-1 + g)
-8 + 1g = (-1 * g + g * g)
-8 + 1g = (-1g + g2)

Solving
-8 + 1g = -1g + g2

Solving for variable 'g'.

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

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

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

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

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

Divide each side by '-1'.
8 + -2g + g2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -2g + -8 + g2 = 0 + -8

Reorder the terms:
8 + -8 + -2g + g2 = 0 + -8

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

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

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 = -8 + 1

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

Combine like terms: -8 + 1 = -7
1 + -2g + g2 = -7

Factor a perfect square on the left side:
(g + -1)(g + -1) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.