(x-8)(x-8)=169

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Solution for (x-8)(x-8)=169 equation: 


Simplifying
(x + -8)(x + -8) = 169

Reorder the terms:
(-8 + x)(x + -8) = 169

Reorder the terms:
(-8 + x)(-8 + x) = 169

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = 169
((-8 * -8 + x * -8) + x(-8 + x)) = 169
((64 + -8x) + x(-8 + x)) = 169
(64 + -8x + (-8 * x + x * x)) = 169
(64 + -8x + (-8x + x2)) = 169

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = 169

Solving
64 + -16x + x2 = 169

Solving for variable 'x'.

Reorder the terms:
64 + -169 + -16x + x2 = 169 + -169

Combine like terms: 64 + -169 = -105
-105 + -16x + x2 = 169 + -169

Combine like terms: 169 + -169 = 0
-105 + -16x + x2 = 0

Factor a trinomial.
(-5 + -1x)(21 + -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 '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-5, 21}

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