(4m-8)(m-2)=0

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Solution for (4m-8)(m-2)=0 equation: 


Simplifying
(4m + -8)(m + -2) = 0

Reorder the terms:
(-8 + 4m)(m + -2) = 0

Reorder the terms:
(-8 + 4m)(-2 + m) = 0

Multiply (-8 + 4m) * (-2 + m)
(-8(-2 + m) + 4m * (-2 + m)) = 0
((-2 * -8 + m * -8) + 4m * (-2 + m)) = 0
((16 + -8m) + 4m * (-2 + m)) = 0
(16 + -8m + (-2 * 4m + m * 4m)) = 0
(16 + -8m + (-8m + 4m2)) = 0

Combine like terms: -8m + -8m = -16m
(16 + -16m + 4m2) = 0

Solving
16 + -16m + 4m2 = 0

Solving for variable 'm'.

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

Factor a trinomial.
4((2 + -1m)(2 + -1m)) = 0

Ignore the factor 4.

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}

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