2(g*g)-16g+32=0

Solution for 2(g*g)-16g+32=0 equation:

Simplifying
2(g * g) + -16g + 32 = 0

Multiply g * g
2(g2) + -16g + 32 = 0

Reorder the terms:
32 + -16g + 2g2 = 0

Solving
32 + -16g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -8g + g2) = 0

Factor a trinomial.
2((4 + -1g)(4 + -1g)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {4, 4}