(x-10)(x-10)=4

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Solution for (x-10)(x-10)=4 equation:


Simplifying
(x + -10)(x + -10) = 4

Reorder the terms:
(-10 + x)(x + -10) = 4

Reorder the terms:
(-10 + x)(-10 + x) = 4

Multiply (-10 + x) * (-10 + x)
(-10(-10 + x) + x(-10 + x)) = 4
((-10 * -10 + x * -10) + x(-10 + x)) = 4
((100 + -10x) + x(-10 + x)) = 4
(100 + -10x + (-10 * x + x * x)) = 4
(100 + -10x + (-10x + x2)) = 4

Combine like terms: -10x + -10x = -20x
(100 + -20x + x2) = 4

Solving
100 + -20x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
100 + -4 + -20x + x2 = 4 + -4

Combine like terms: 100 + -4 = 96
96 + -20x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
96 + -20x + x2 = 0

Factor a trinomial.
(8 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {8, 12}

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