(x-8)*(x-8)-18=-2

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Solution for (x-8)*(x-8)-18=-2 equation: 


Simplifying
(x + -8)(x + -8) + -18 = -2

Reorder the terms:
(-8 + x)(x + -8) + -18 = -2

Reorder the terms:
(-8 + x)(-8 + x) + -18 = -2

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) + -18 = -2
((-8 * -8 + x * -8) + x(-8 + x)) + -18 = -2
((64 + -8x) + x(-8 + x)) + -18 = -2
(64 + -8x + (-8 * x + x * x)) + -18 = -2
(64 + -8x + (-8x + x2)) + -18 = -2

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) + -18 = -2

Reorder the terms:
64 + -18 + -16x + x2 = -2

Combine like terms: 64 + -18 = 46
46 + -16x + x2 = -2

Solving
46 + -16x + x2 = -2

Solving for variable 'x'.

Reorder the terms:
46 + 2 + -16x + x2 = -2 + 2

Combine like terms: 46 + 2 = 48
48 + -16x + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
48 + -16x + 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}

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