(x-16)(x-16)=16

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Solution for (x-16)(x-16)=16 equation: 


Simplifying
(x + -16)(x + -16) = 16

Reorder the terms:
(-16 + x)(x + -16) = 16

Reorder the terms:
(-16 + x)(-16 + x) = 16

Multiply (-16 + x) * (-16 + x)
(-16(-16 + x) + x(-16 + x)) = 16
((-16 * -16 + x * -16) + x(-16 + x)) = 16
((256 + -16x) + x(-16 + x)) = 16
(256 + -16x + (-16 * x + x * x)) = 16
(256 + -16x + (-16x + x2)) = 16

Combine like terms: -16x + -16x = -32x
(256 + -32x + x2) = 16

Solving
256 + -32x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
256 + -16 + -32x + x2 = 16 + -16

Combine like terms: 256 + -16 = 240
240 + -32x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
240 + -32x + x2 = 0

Factor a trinomial.
(12 + -1x)(20 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {12, 20}

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