16m^2-64m+64=0

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

Simplifying
16m2 + -64m + 64 = 0

Reorder the terms:
64 + -64m + 16m2 = 0

Solving
64 + -64m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + -4m + m2) = 0

Factor a trinomial.
16((2 + -1m)(2 + -1m)) = 0

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {2, 2}