-9x^2+12x-67=0

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Solution for -9x^2+12x-67=0 equation: 


Simplifying
-9x2 + 12x + -67 = 0

Reorder the terms:
-67 + 12x + -9x2 = 0

Solving
-67 + 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'.
7.444444444 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.444444444' to each side of the equation.
7.444444444 + -1.333333333x + -7.444444444 + x2 = 0 + -7.444444444

Reorder the terms:
7.444444444 + -7.444444444 + -1.333333333x + x2 = 0 + -7.444444444

Combine like terms: 7.444444444 + -7.444444444 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -7.444444444
-1.333333333x + x2 = 0 + -7.444444444

Combine like terms: 0 + -7.444444444 = -7.444444444
-1.333333333x + x2 = -7.444444444

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 = -7.444444444 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -7.444444444 + 0.4444444442

Combine like terms: -7.444444444 + 0.4444444442 = -6.9999999998
0.4444444442 + -1.333333333x + x2 = -6.9999999998

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -6.9999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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