g^0+g^1+g^2=(1+g)*(1+g)

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Solution for g^0+g^1+g^2=(1+g)*(1+g) equation:


Simplifying
g0 + g + g2 = (1 + g)(1 + g)

Multiply (1 + g) * (1 + g)
 + g + g2 = (1(1 + g) + g(1 + g))
 + g + g2 = ((1 * 1 + g * 1) + g(1 + g))
 + g + g2 = ((1 + 1g) + g(1 + g))
 + g + g2 = (1 + 1g + (1 * g + g * g))
 + g + g2 = (1 + 1g + (1g + g2))

Combine like terms: 1g + 1g = 2g
 + g + g2 = (1 + 2g + g2)

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

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

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

Solving
 + g = 1 + 2g

Solving for variable 'g'.

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

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

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

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

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

Combine like terms:  + -1 = 0
0 + -1g = 1 + -1
-1g = 1 + -1

Combine like terms: 1 + -1 = 0
-1g = 0

Divide each side by '-1'.
g = 0

Simplifying
g = 0

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