2g(4g+3)=

Solution for 2g(4g+3)= equation:

Simplifying
2g(4g + 3) = 0

Reorder the terms:
2g(3 + 4g) = 0
(3 * 2g + 4g * 2g) = 0
(6g + 8g2) = 0

Solving
6g + 8g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2g'.
2g(3 + 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 '(3 + 4g)' equal to zero and attempt to solve:

Simplifying
3 + 4g = 0

Solving
3 + 4g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4g = 0 + -3
4g = 0 + -3

Combine like terms: 0 + -3 = -3
4g = -3

Divide each side by '4'.
g = -0.75

Simplifying
g = -0.75
Solution
g = {0, -0.75}