Answer:
g = 0 or g = -1/2
Step-by-step explanation:
Solve for g:
8 g^3 - 2 g^2 = 2 g^3 - 5 g^2
Subtract 2 g^3 - 5 g^2 from both sides:
6 g^3 + 3 g^2 = 0
Factor g^2 and constant terms from the left hand side:
3 g^2 (2 g + 1) = 0
Divide both sides by 3:
g^2 (2 g + 1) = 0
Split into two equations:
g^2 = 0 or 2 g + 1 = 0
Take the square root of both sides:
g = 0 or 2 g + 1 = 0
Subtract 1 from both sides:
g = 0 or 2 g = -1
Divide both sides by 2:
Answer: g = 0 or g = -1/2
