(x-8)(x-8)=9

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Solution for (x-8)(x-8)=9 equation: 


Simplifying
(x + -8)(x + -8) = 9

Reorder the terms:
(-8 + x)(x + -8) = 9

Reorder the terms:
(-8 + x)(-8 + x) = 9

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = 9
((-8 * -8 + x * -8) + x(-8 + x)) = 9
((64 + -8x) + x(-8 + x)) = 9
(64 + -8x + (-8 * x + x * x)) = 9
(64 + -8x + (-8x + x2)) = 9

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = 9

Solving
64 + -16x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
64 + -9 + -16x + x2 = 9 + -9

Combine like terms: 64 + -9 = 55
55 + -16x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
55 + -16x + x2 = 0

Factor a trinomial.
(5 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {5, 11}

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