(x-5)(x-5)=64

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Solution for (x-5)(x-5)=64 equation: 


Simplifying
(x + -5)(x + -5) = 64

Reorder the terms:
(-5 + x)(x + -5) = 64

Reorder the terms:
(-5 + x)(-5 + x) = 64

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) = 64
((-5 * -5 + x * -5) + x(-5 + x)) = 64
((25 + -5x) + x(-5 + x)) = 64
(25 + -5x + (-5 * x + x * x)) = 64
(25 + -5x + (-5x + x2)) = 64

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) = 64

Solving
25 + -10x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
25 + -64 + -10x + x2 = 64 + -64

Combine like terms: 25 + -64 = -39
-39 + -10x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-39 + -10x + 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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