2g(9-3g)=

Solution for 2g(9-3g)= equation:

Simplifying
2g(9 + -3g) = 0
(9 * 2g + -3g * 2g) = 0
(18g + -6g2) = 0

Solving
18g + -6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '6g'.
6g(3 + -1g) = 0

Ignore the factor 6.
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 + -1g)' equal to zero and attempt to solve:

Simplifying
3 + -1g = 0

Solving
3 + -1g = 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 + -1g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1g = 0 + -3
-1g = 0 + -3

Combine like terms: 0 + -3 = -3
-1g = -3

Divide each side by '-1'.
g = 3

Simplifying
g = 3
Solution
g = {0, 3}