=2x^2-228x+11319

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Solution for =2x^2-228x+11319 equation: 


Simplifying
0 = 2x2 + -228x + 11319

Reorder the terms:
0 = 11319 + -228x + 2x2

Solving
0 = 11319 + -228x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -11319 = -11319
-11319 + 228x + -2x2 = 11319 + -228x + 2x2 + -11319 + 228x + -2x2

Reorder the terms:
-11319 + 228x + -2x2 = 11319 + -11319 + -228x + 228x + 2x2 + -2x2

Combine like terms: 11319 + -11319 = 0
-11319 + 228x + -2x2 = 0 + -228x + 228x + 2x2 + -2x2
-11319 + 228x + -2x2 = -228x + 228x + 2x2 + -2x2

Combine like terms: -228x + 228x = 0
-11319 + 228x + -2x2 = 0 + 2x2 + -2x2
-11319 + 228x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-11319 + 228x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
5659.5 + -114x + x2 = 0

Move the constant term to the right:

Add '-5659.5' to each side of the equation.
5659.5 + -114x + -5659.5 + x2 = 0 + -5659.5

Reorder the terms:
5659.5 + -5659.5 + -114x + x2 = 0 + -5659.5

Combine like terms: 5659.5 + -5659.5 = 0.0
0.0 + -114x + x2 = 0 + -5659.5
-114x + x2 = 0 + -5659.5

Combine like terms: 0 + -5659.5 = -5659.5
-114x + x2 = -5659.5

The x term is -114x.  Take half its coefficient (-57).
Square it (3249) and add it to both sides.

Add '3249' to each side of the equation.
-114x + 3249 + x2 = -5659.5 + 3249

Reorder the terms:
3249 + -114x + x2 = -5659.5 + 3249

Combine like terms: -5659.5 + 3249 = -2410.5
3249 + -114x + x2 = -2410.5

Factor a perfect square on the left side:
(x + -57)(x + -57) = -2410.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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