(x-2)(x-4)=168

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Solution for (x-2)(x-4)=168 equation: 


Simplifying
(x + -2)(x + -4) = 168

Reorder the terms:
(-2 + x)(x + -4) = 168

Reorder the terms:
(-2 + x)(-4 + x) = 168

Multiply (-2 + x) * (-4 + x)
(-2(-4 + x) + x(-4 + x)) = 168
((-4 * -2 + x * -2) + x(-4 + x)) = 168
((8 + -2x) + x(-4 + x)) = 168
(8 + -2x + (-4 * x + x * x)) = 168
(8 + -2x + (-4x + x2)) = 168

Combine like terms: -2x + -4x = -6x
(8 + -6x + x2) = 168

Solving
8 + -6x + x2 = 168

Solving for variable 'x'.

Reorder the terms:
8 + -168 + -6x + x2 = 168 + -168

Combine like terms: 8 + -168 = -160
-160 + -6x + x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-160 + -6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-10, 16}

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