(x-8)(x-8)=36

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Solution for (x-8)(x-8)=36 equation: 


Simplifying
(x + -8)(x + -8) = 36

Reorder the terms:
(-8 + x)(x + -8) = 36

Reorder the terms:
(-8 + x)(-8 + x) = 36

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = 36
((-8 * -8 + x * -8) + x(-8 + x)) = 36
((64 + -8x) + x(-8 + x)) = 36
(64 + -8x + (-8 * x + x * x)) = 36
(64 + -8x + (-8x + x2)) = 36

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = 36

Solving
64 + -16x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
64 + -36 + -16x + x2 = 36 + -36

Combine like terms: 64 + -36 = 28
28 + -16x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
28 + -16x + x2 = 0

Factor a trinomial.
(2 + -1x)(14 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {2, 14}

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