25m^2-80m+64=0

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Solution for 25m^2-80m+64=0 equation: 


Simplifying
25m2 + -80m + 64 = 0

Reorder the terms:
64 + -80m + 25m2 = 0

Solving
64 + -80m + 25m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -5m)(8 + -5m) = 0


Subproblem 1
Set the factor '(8 + -5m)' equal to zero and attempt to solve:

Simplifying
8 + -5m = 0

Solving
8 + -5m = 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 + -5m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5m = 0 + -8
-5m = 0 + -8

Combine like terms: 0 + -8 = -8
-5m = -8

Divide each side by '-5'.
m = 1.6

Simplifying
m = 1.6

Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve:

Simplifying
8 + -5m = 0

Solving
8 + -5m = 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 + -5m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5m = 0 + -8
-5m = 0 + -8

Combine like terms: 0 + -8 = -8
-5m = -8

Divide each side by '-5'.
m = 1.6

Simplifying
m = 1.6
Solution
m = {1.6, 1.6}

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