(x-3)(x-3)=64

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

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

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

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

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 64
((-3 * -3 + x * -3) + x(-3 + x)) = 64
((9 + -3x) + x(-3 + x)) = 64
(9 + -3x + (-3 * x + x * x)) = 64
(9 + -3x + (-3x + x2)) = 64

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 64

Solving
9 + -6x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
9 + -64 + -6x + x2 = 64 + -64

Combine like terms: 9 + -64 = -55
-55 + -6x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-55 + -6x + x2 = 0

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

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

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

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

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

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

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

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

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

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

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

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

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