3g(2g-5)=

Solution for 3g(2g-5)= equation:

Simplifying
3g(2g + -5) = 0

Reorder the terms:
3g(-5 + 2g) = 0
(-5 * 3g + 2g * 3g) = 0
(-15g + 6g2) = 0

Solving
-15g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3g'.
3g(-5 + 2g) = 0

Ignore the factor 3.
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 '(-5 + 2g)' equal to zero and attempt to solve:

Simplifying
-5 + 2g = 0

Solving
-5 + 2g = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2g = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2g = 0 + 5
2g = 0 + 5

Combine like terms: 0 + 5 = 5
2g = 5

Divide each side by '2'.
g = 2.5

Simplifying
g = 2.5
Solution
g = {0, 2.5}