(x-4)(x-4)=169

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Solution for (x-4)(x-4)=169 equation: 


Simplifying
(x + -4)(x + -4) = 169

Reorder the terms:
(-4 + x)(x + -4) = 169

Reorder the terms:
(-4 + x)(-4 + x) = 169

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) = 169
((-4 * -4 + x * -4) + x(-4 + x)) = 169
((16 + -4x) + x(-4 + x)) = 169
(16 + -4x + (-4 * x + x * x)) = 169
(16 + -4x + (-4x + x2)) = 169

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) = 169

Solving
16 + -8x + x2 = 169

Solving for variable 'x'.

Reorder the terms:
16 + -169 + -8x + x2 = 169 + -169

Combine like terms: 16 + -169 = -153
-153 + -8x + x2 = 169 + -169

Combine like terms: 169 + -169 = 0
-153 + -8x + x2 = 0

Factor a trinomial.
(-9 + -1x)(17 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Solution
x = {-9, 17}

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