(m-3)(m-3)=64

Solution for (m-3)(m-3)=64 equation:

Simplifying
(m + -3)(m + -3) = 64

Reorder the terms:
(-3 + m)(m + -3) = 64

Reorder the terms:
(-3 + m)(-3 + m) = 64

Multiply (-3 + m) * (-3 + m)
(-3(-3 + m) + m(-3 + m)) = 64
((-3 * -3 + m * -3) + m(-3 + m)) = 64
((9 + -3m) + m(-3 + m)) = 64
(9 + -3m + (-3 * m + m * m)) = 64
(9 + -3m + (-3m + m2)) = 64

Combine like terms: -3m + -3m = -6m
(9 + -6m + m2) = 64

Solving
9 + -6m + m2 = 64

Solving for variable 'm'.

Reorder the terms:
9 + -64 + -6m + m2 = 64 + -64

Combine like terms: 9 + -64 = -55
-55 + -6m + m2 = 64 + -64

Combine like terms: 64 + -64 = 0
-55 + -6m + m2 = 0

Factor a trinomial.
(-5 + -1m)(11 + -1m) = 0

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

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {-5, 11}