(3m-8)(m-8)=0

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Solution for (3m-8)(m-8)=0 equation: 


Simplifying
(3m + -8)(m + -8) = 0

Reorder the terms:
(-8 + 3m)(m + -8) = 0

Reorder the terms:
(-8 + 3m)(-8 + m) = 0

Multiply (-8 + 3m) * (-8 + m)
(-8(-8 + m) + 3m * (-8 + m)) = 0
((-8 * -8 + m * -8) + 3m * (-8 + m)) = 0
((64 + -8m) + 3m * (-8 + m)) = 0
(64 + -8m + (-8 * 3m + m * 3m)) = 0
(64 + -8m + (-24m + 3m2)) = 0

Combine like terms: -8m + -24m = -32m
(64 + -32m + 3m2) = 0

Solving
64 + -32m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + -3m)(8 + -1m) = 0


Subproblem 1
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 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 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667

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 = {2.666666667, 8}

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