g^2-32g+256=0

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Solution for g^2-32g+256=0 equation: 


Simplifying
g2 + -32g + 256 = 0

Reorder the terms:
256 + -32g + g2 = 0

Solving
256 + -32g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(16 + -1g)(16 + -1g) = 0


Subproblem 1
Set the factor '(16 + -1g)' equal to zero and attempt to solve:

Simplifying
16 + -1g = 0

Solving
16 + -1g = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1g = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1g = 0 + -16
-1g = 0 + -16

Combine like terms: 0 + -16 = -16
-1g = -16

Divide each side by '-1'.
g = 16

Simplifying
g = 16

Subproblem 2
Set the factor '(16 + -1g)' equal to zero and attempt to solve:

Simplifying
16 + -1g = 0

Solving
16 + -1g = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1g = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1g = 0 + -16
-1g = 0 + -16

Combine like terms: 0 + -16 = -16
-1g = -16

Divide each side by '-1'.
g = 16

Simplifying
g = 16
Solution
g = {16, 16}

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