16g^2-72g+72=

Solution for 16g^2-72g+72= equation:

Simplifying
16g2 + -72g + 72 = 0

Reorder the terms:
72 + -72g + 16g2 = 0

Solving
72 + -72g + 16g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -9g + 2g2) = 0

Factor a trinomial.
8((3 + -2g)(3 + -1g)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -2g)' equal to zero and attempt to solve:

Simplifying
3 + -2g = 0

Solving
3 + -2g = 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 + -2g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2g = 0 + -3
-2g = 0 + -3

Combine like terms: 0 + -3 = -3
-2g = -3

Divide each side by '-2'.
g = 1.5

Simplifying
g = 1.5
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 = {1.5, 3}