6x^2-216x+11230=0

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Solution for 6x^2-216x+11230=0 equation: 


Simplifying
6x2 + -216x + 11230 = 0

Reorder the terms:
11230 + -216x + 6x2 = 0

Solving
11230 + -216x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5615 + -108x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5615 + -108x + 3x2)' equal to zero and attempt to solve:

Simplifying
5615 + -108x + 3x2 = 0

Solving
5615 + -108x + 3x2 = 0

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

Divide each side by '3'.
1871.666667 + -36x + x2 = 0

Move the constant term to the right:

Add '-1871.666667' to each side of the equation.
1871.666667 + -36x + -1871.666667 + x2 = 0 + -1871.666667

Reorder the terms:
1871.666667 + -1871.666667 + -36x + x2 = 0 + -1871.666667

Combine like terms: 1871.666667 + -1871.666667 = 0.000000
0.000000 + -36x + x2 = 0 + -1871.666667
-36x + x2 = 0 + -1871.666667

Combine like terms: 0 + -1871.666667 = -1871.666667
-36x + x2 = -1871.666667

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = -1871.666667 + 324

Reorder the terms:
324 + -36x + x2 = -1871.666667 + 324

Combine like terms: -1871.666667 + 324 = -1547.666667
324 + -36x + x2 = -1547.666667

Factor a perfect square on the left side:
(x + -18)(x + -18) = -1547.666667

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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