18x^2-198x+657=0

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Solution for 18x^2-198x+657=0 equation: 


Simplifying
18x2 + -198x + 657 = 0

Reorder the terms:
657 + -198x + 18x2 = 0

Solving
657 + -198x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(73 + -22x + 2x2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(73 + -22x + 2x2)' equal to zero and attempt to solve:

Simplifying
73 + -22x + 2x2 = 0

Solving
73 + -22x + 2x2 = 0

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

Divide each side by '2'.
36.5 + -11x + x2 = 0

Move the constant term to the right:

Add '-36.5' to each side of the equation.
36.5 + -11x + -36.5 + x2 = 0 + -36.5

Reorder the terms:
36.5 + -36.5 + -11x + x2 = 0 + -36.5

Combine like terms: 36.5 + -36.5 = 0.0
0.0 + -11x + x2 = 0 + -36.5
-11x + x2 = 0 + -36.5

Combine like terms: 0 + -36.5 = -36.5
-11x + x2 = -36.5

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -36.5 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -36.5 + 30.25

Combine like terms: -36.5 + 30.25 = -6.25
30.25 + -11x + x2 = -6.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -6.25

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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