(x-16)(x-16)=0

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Solution for (x-16)(x-16)=0 equation: 


Simplifying
(x + -16)(x + -16) = 0

Reorder the terms:
(-16 + x)(x + -16) = 0

Reorder the terms:
(-16 + x)(-16 + x) = 0

Multiply (-16 + x) * (-16 + x)
(-16(-16 + x) + x(-16 + x)) = 0
((-16 * -16 + x * -16) + x(-16 + x)) = 0
((256 + -16x) + x(-16 + x)) = 0
(256 + -16x + (-16 * x + x * x)) = 0
(256 + -16x + (-16x + x2)) = 0

Combine like terms: -16x + -16x = -32x
(256 + -32x + x2) = 0

Solving
256 + -32x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {16, 16}

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