(x-8)(x-8)=25

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Solution for (x-8)(x-8)=25 equation: 


Simplifying
(x + -8)(x + -8) = 25

Reorder the terms:
(-8 + x)(x + -8) = 25

Reorder the terms:
(-8 + x)(-8 + x) = 25

Multiply (-8 + x) * (-8 + x)
(-8(-8 + x) + x(-8 + x)) = 25
((-8 * -8 + x * -8) + x(-8 + x)) = 25
((64 + -8x) + x(-8 + x)) = 25
(64 + -8x + (-8 * x + x * x)) = 25
(64 + -8x + (-8x + x2)) = 25

Combine like terms: -8x + -8x = -16x
(64 + -16x + x2) = 25

Solving
64 + -16x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
64 + -25 + -16x + x2 = 25 + -25

Combine like terms: 64 + -25 = 39
39 + -16x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
39 + -16x + x2 = 0

Factor a trinomial.
(3 + -1x)(13 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {3, 13}

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