6x^2-228x+11308=0

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Solution for 6x^2-228x+11308=0 equation: 


Simplifying
6x2 + -228x + 11308 = 0

Reorder the terms:
11308 + -228x + 6x2 = 0

Solving
11308 + -228x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5654 + -114x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5654 + -114x + 3x2)' equal to zero and attempt to solve:

Simplifying
5654 + -114x + 3x2 = 0

Solving
5654 + -114x + 3x2 = 0

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

Divide each side by '3'.
1884.666667 + -38x + x2 = 0

Move the constant term to the right:

Add '-1884.666667' to each side of the equation.
1884.666667 + -38x + -1884.666667 + x2 = 0 + -1884.666667

Reorder the terms:
1884.666667 + -1884.666667 + -38x + x2 = 0 + -1884.666667

Combine like terms: 1884.666667 + -1884.666667 = 0.000000
0.000000 + -38x + x2 = 0 + -1884.666667
-38x + x2 = 0 + -1884.666667

Combine like terms: 0 + -1884.666667 = -1884.666667
-38x + x2 = -1884.666667

The x term is -38x.  Take half its coefficient (-19).
Square it (361) and add it to both sides.

Add '361' to each side of the equation.
-38x + 361 + x2 = -1884.666667 + 361

Reorder the terms:
361 + -38x + x2 = -1884.666667 + 361

Combine like terms: -1884.666667 + 361 = -1523.666667
361 + -38x + x2 = -1523.666667

Factor a perfect square on the left side:
(x + -19)(x + -19) = -1523.666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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