244=x^2-6x+28

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Solution for 244=x^2-6x+28 equation: 


Simplifying
244 = x2 + -6x + 28

Reorder the terms:
244 = 28 + -6x + x2

Solving
244 = 28 + -6x + x2

Solving for variable 'x'.

Combine like terms: 244 + -28 = 216
216 + 6x + -1x2 = 28 + -6x + x2 + -28 + 6x + -1x2

Reorder the terms:
216 + 6x + -1x2 = 28 + -28 + -6x + 6x + x2 + -1x2

Combine like terms: 28 + -28 = 0
216 + 6x + -1x2 = 0 + -6x + 6x + x2 + -1x2
216 + 6x + -1x2 = -6x + 6x + x2 + -1x2

Combine like terms: -6x + 6x = 0
216 + 6x + -1x2 = 0 + x2 + -1x2
216 + 6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
216 + 6x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(12 + x) = 0


Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {18, -12}

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