x^2+201=28x+9

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Solution for x^2+201=28x+9 equation: 


Simplifying
x2 + 201 = 28x + 9

Reorder the terms:
201 + x2 = 28x + 9

Reorder the terms:
201 + x2 = 9 + 28x

Solving
201 + x2 = 9 + 28x

Solving for variable 'x'.

Reorder the terms:
201 + -9 + -28x + x2 = 9 + 28x + -9 + -28x

Combine like terms: 201 + -9 = 192
192 + -28x + x2 = 9 + 28x + -9 + -28x

Reorder the terms:
192 + -28x + x2 = 9 + -9 + 28x + -28x

Combine like terms: 9 + -9 = 0
192 + -28x + x2 = 0 + 28x + -28x
192 + -28x + x2 = 28x + -28x

Combine like terms: 28x + -28x = 0
192 + -28x + x2 = 0

Factor a trinomial.
(12 + -1x)(16 + -1x) = 0


Subproblem 1
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

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 = {12, 16}

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