7m^2-64m+64=0

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Solution for 7m^2-64m+64=0 equation: 


Simplifying
7m2 + -64m + 64 = 0

Reorder the terms:
64 + -64m + 7m2 = 0

Solving
64 + -64m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -7m)(8 + -1m) = 0


Subproblem 1
Set the factor '(8 + -7m)' equal to zero and attempt to solve:

Simplifying
8 + -7m = 0

Solving
8 + -7m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = 0 + -8
-7m = 0 + -8

Combine like terms: 0 + -8 = -8
-7m = -8

Divide each side by '-7'.
m = 1.142857143

Simplifying
m = 1.142857143

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

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

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

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

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

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

Simplifying
m = 8
Solution
m = {1.142857143, 8}

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