g(4g+1)=

Solution for g(4g+1)= equation:

Simplifying
g(4g + 1) = 0

Reorder the terms:
g(1 + 4g) = 0
(1 * g + 4g * g) = 0
(1g + 4g2) = 0

Solving
1g + 4g2 = 0

Solving for variable 'g'.

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

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}