10g^4+2g=0

Solution for 10g^4+2g=0 equation:

Simplifying
10g4 + 2g = 0

Reorder the terms:
2g + 10g4 = 0

Solving
2g + 10g4 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2g'.
2g(1 + 5g3) = 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 + 5g3)' equal to zero and attempt to solve:

Simplifying
1 + 5g3 = 0

Solving
1 + 5g3 = 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 + 5g3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5g3 = 0 + -1
5g3 = 0 + -1

Combine like terms: 0 + -1 = -1
5g3 = -1

Divide each side by '5'.
g3 = -0.2

Simplifying
g3 = -0.2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}