9x^2-12x+133=0

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Solution for 9x^2-12x+133=0 equation:


Simplifying
9x2 + -12x + 133 = 0

Reorder the terms:
133 + -12x + 9x2 = 0

Solving
133 + -12x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
14.77777778 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-14.77777778' to each side of the equation.
14.77777778 + -1.333333333x + -14.77777778 + x2 = 0 + -14.77777778

Reorder the terms:
14.77777778 + -14.77777778 + -1.333333333x + x2 = 0 + -14.77777778

Combine like terms: 14.77777778 + -14.77777778 = 0.00000000
0.00000000 + -1.333333333x + x2 = 0 + -14.77777778
-1.333333333x + x2 = 0 + -14.77777778

Combine like terms: 0 + -14.77777778 = -14.77777778
-1.333333333x + x2 = -14.77777778

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -14.77777778 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -14.77777778 + 0.4444444442

Combine like terms: -14.77777778 + 0.4444444442 = -14.3333333358
0.4444444442 + -1.333333333x + x2 = -14.3333333358

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -14.3333333358

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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