3G-2g(g+4)=8(g-1)

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Solution for 3G-2g(g+4)=8(g-1) equation: 


Simplifying
3G + -2g(g + 4) = 8(g + -1)

Reorder the terms:
3G + -2g(4 + g) = 8(g + -1)
3G + (4 * -2g + g * -2g) = 8(g + -1)
3G + (-8g + -2g2) = 8(g + -1)

Reorder the terms:
3G + -8g + -2g2 = 8(-1 + g)
3G + -8g + -2g2 = (-1 * 8 + g * 8)
3G + -8g + -2g2 = (-8 + 8g)

Solving
3G + -8g + -2g2 = -8 + 8g

Solving for variable 'G'.

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

Add '8g' to each side of the equation.
3G + -8g + 8g + -2g2 = -8 + 8g + 8g

Combine like terms: -8g + 8g = 0
3G + 0 + -2g2 = -8 + 8g + 8g
3G + -2g2 = -8 + 8g + 8g

Combine like terms: 8g + 8g = 16g
3G + -2g2 = -8 + 16g

Add '2g2' to each side of the equation.
3G + -2g2 + 2g2 = -8 + 16g + 2g2

Combine like terms: -2g2 + 2g2 = 0
3G + 0 = -8 + 16g + 2g2
3G = -8 + 16g + 2g2

Divide each side by '3'.
G = -2.666666667 + 5.333333333g + 0.6666666667g2

Simplifying
G = -2.666666667 + 5.333333333g + 0.6666666667g2

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