(x-4)(x-4)=64

Solution for (x-4)(x-4)=64 equation:

Simplifying
(x + -4)(x + -4) = 64

Reorder the terms:
(-4 + x)(x + -4) = 64

Reorder the terms:
(-4 + x)(-4 + x) = 64

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = 64
((-4 * -4 + x * -4) + x(-4 + x)) = 64
((16 + -4x) + x(-4 + x)) = 64
(16 + -4x + (-4 * x + x * x)) = 64
(16 + -4x + (-4x + x2)) = 64

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = 64

Solving
16 + -8x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
16 + -64 + -8x + x2 = 64 + -64

Combine like terms: 16 + -64 = -48
-48 + -8x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-48 + -8x + x2 = 0

Factor a trinomial.
(-4 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-4, 12}