8g^2=2g

Solution for 8g^2=2g equation:

Simplifying
8g2 = 2g

Solving
8g2 = 2g

Solving for variable 'g'.

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

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

Factor out the Greatest Common Factor (GCF), '2g'.
2g(-1 + 4g) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(-1 + 4g)' equal to zero and attempt to solve:

Simplifying
-1 + 4g = 0

Solving
-1 + 4g = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4g = 0 + 1
4g = 0 + 1

Combine like terms: 0 + 1 = 1
4g = 1

Divide each side by '4'.
g = 0.25

Simplifying
g = 0.25
Solution
g = {0, 0.25}