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

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


Simplifying
-1g + 2(3 + g) = -4g(g + 1)
-1g + (3 * 2 + g * 2) = -4g(g + 1)
-1g + (6 + 2g) = -4g(g + 1)

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

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

Reorder the terms:
6 + 1g = -4g(1 + g)
6 + 1g = (1 * -4g + g * -4g)
6 + 1g = (-4g + -4g2)

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

Solving for variable 'g'.

Combine like terms: 1g + 4g = 5g
6 + 5g + 4g2 = -4g + -4g2 + 4g + 4g2

Reorder the terms:
6 + 5g + 4g2 = -4g + 4g + -4g2 + 4g2

Combine like terms: -4g + 4g = 0
6 + 5g + 4g2 = 0 + -4g2 + 4g2
6 + 5g + 4g2 = -4g2 + 4g2

Combine like terms: -4g2 + 4g2 = 0
6 + 5g + 4g2 = 0

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

Divide each side by '4'.
1.5 + 1.25g + g2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.25g + -1.5 + g2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.25g + g2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.25g + g2 = 0 + -1.5
1.25g + g2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.25g + g2 = -1.5

The g term is 1.25g.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25g + 0.390625 + g2 = -1.5 + 0.390625

Reorder the terms:
0.390625 + 1.25g + g2 = -1.5 + 0.390625

Combine like terms: -1.5 + 0.390625 = -1.109375
0.390625 + 1.25g + g2 = -1.109375

Factor a perfect square on the left side:
(g + 0.625)(g + 0.625) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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