12g^2-52g+16=0

Solution for 12g^2-52g+16=0 equation:

Simplifying
12g2 + -52g + 16 = 0

Reorder the terms:
16 + -52g + 12g2 = 0

Solving
16 + -52g + 12g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -13g + 3g2) = 0

Factor a trinomial.
4((1 + -3g)(4 + -1g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -3g)' equal to zero and attempt to solve:

Simplifying
1 + -3g = 0

Solving
1 + -3g = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3g = 0 + -1

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

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

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333
Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve:

Simplifying
4 + -1g = 0

Solving
4 + -1g = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Solution
g = {0.3333333333, 4}