f^2-16f+64=0

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Solution for f^2-16f+64=0 equation: 


Simplifying
f2 + -16f + 64 = 0

Reorder the terms:
64 + -16f + f2 = 0

Solving
64 + -16f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(8 + -1f)(8 + -1f) = 0


Subproblem 1
Set the factor '(8 + -1f)' equal to zero and attempt to solve:

Simplifying
8 + -1f = 0

Solving
8 + -1f = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1f = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1f = 0 + -8
-1f = 0 + -8

Combine like terms: 0 + -8 = -8
-1f = -8

Divide each side by '-1'.
f = 8

Simplifying
f = 8

Subproblem 2
Set the factor '(8 + -1f)' equal to zero and attempt to solve:

Simplifying
8 + -1f = 0

Solving
8 + -1f = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1f = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1f = 0 + -8
-1f = 0 + -8

Combine like terms: 0 + -8 = -8
-1f = -8

Divide each side by '-1'.
f = 8

Simplifying
f = 8
Solution
f = {8, 8}

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