x^2-8x+16=4x+44

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Solution for x^2-8x+16=4x+44 equation: 


Simplifying
x2 + -8x + 16 = 4x + 44

Reorder the terms:
16 + -8x + x2 = 4x + 44

Reorder the terms:
16 + -8x + x2 = 44 + 4x

Solving
16 + -8x + x2 = 44 + 4x

Solving for variable 'x'.

Reorder the terms:
16 + -44 + -8x + -4x + x2 = 44 + 4x + -44 + -4x

Combine like terms: 16 + -44 = -28
-28 + -8x + -4x + x2 = 44 + 4x + -44 + -4x

Combine like terms: -8x + -4x = -12x
-28 + -12x + x2 = 44 + 4x + -44 + -4x

Reorder the terms:
-28 + -12x + x2 = 44 + -44 + 4x + -4x

Combine like terms: 44 + -44 = 0
-28 + -12x + x2 = 0 + 4x + -4x
-28 + -12x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + -12x + x2 = 0

Factor a trinomial.
(-2 + -1x)(14 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-2, 14}

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