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

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

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

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

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

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

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

Solving
24 + -32m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + -4m + m2) = 0

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {1, 3}