(x-8)(x-8)=4

Solution for (x-8)(x-8)=4 equation:

Simplifying
(x + -8)(x + -8) = 4

Reorder the terms:
(-8 + x)(x + -8) = 4

Reorder the terms:
(-8 + x)(-8 + x) = 4

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = 4
((-8 * -8 + x * -8) + x(-8 + x)) = 4
((64 + -8x) + x(-8 + x)) = 4
(64 + -8x + (-8 * x + x * x)) = 4
(64 + -8x + (-8x + x2)) = 4

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

Solving
64 + -16x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
64 + -4 + -16x + x2 = 4 + -4

Combine like terms: 64 + -4 = 60
60 + -16x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
60 + -16x + x2 = 0

Factor a trinomial.
(6 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {6, 10}