7g(4g-39)=0

Solution for 7g(4g-39)=0 equation:

Simplifying
7g(4g + -39) = 0

Reorder the terms:
7g(-39 + 4g) = 0
(-39 * 7g + 4g * 7g) = 0
(-273g + 28g2) = 0

Solving
-273g + 28g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '7g'.
7g(-39 + 4g) = 0

Ignore the factor 7.
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 '(-39 + 4g)' equal to zero and attempt to solve:

Simplifying
-39 + 4g = 0

Solving
-39 + 4g = 0

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

Add '39' to each side of the equation.
-39 + 39 + 4g = 0 + 39

Combine like terms: -39 + 39 = 0
0 + 4g = 0 + 39
4g = 0 + 39

Combine like terms: 0 + 39 = 39
4g = 39

Divide each side by '4'.
g = 9.75

Simplifying
g = 9.75
Solution
g = {0, 9.75}