18x^2-19x+216=0

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Solution for 18x^2-19x+216=0 equation:


Simplifying
18x2 + -19x + 216 = 0

Reorder the terms:
216 + -19x + 18x2 = 0

Solving
216 + -19x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
12 + -1.055555556x + x2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -1.055555556x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + -1.055555556x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1.055555556x + x2 = 0 + -12
-1.055555556x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-1.055555556x + x2 = -12

The x term is -1.055555556x.  Take half its coefficient (-0.527777778).
Square it (0.2785493830) and add it to both sides.

Add '0.2785493830' to each side of the equation.
-1.055555556x + 0.2785493830 + x2 = -12 + 0.2785493830

Reorder the terms:
0.2785493830 + -1.055555556x + x2 = -12 + 0.2785493830

Combine like terms: -12 + 0.2785493830 = -11.721450617
0.2785493830 + -1.055555556x + x2 = -11.721450617

Factor a perfect square on the left side:
(x + -0.527777778)(x + -0.527777778) = -11.721450617

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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