-14x^2-6x+21x-9=0

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Solution for -14x^2-6x+21x-9=0 equation: 


Simplifying
-14x2 + -6x + 21x + -9 = 0

Reorder the terms:
-9 + -6x + 21x + -14x2 = 0

Combine like terms: -6x + 21x = 15x
-9 + 15x + -14x2 = 0

Solving
-9 + 15x + -14x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
0.6428571429 + -1.071428571x + x2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + -1.071428571x + -0.6428571429 + x2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + -1.071428571x + x2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + -1.071428571x + x2 = 0 + -0.6428571429
-1.071428571x + x2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
-1.071428571x + x2 = -0.6428571429

The x term is -1.071428571x.  Take half its coefficient (-0.5357142855).
Square it (0.2869897957) and add it to both sides.

Add '0.2869897957' to each side of the equation.
-1.071428571x + 0.2869897957 + x2 = -0.6428571429 + 0.2869897957

Reorder the terms:
0.2869897957 + -1.071428571x + x2 = -0.6428571429 + 0.2869897957

Combine like terms: -0.6428571429 + 0.2869897957 = -0.3558673472
0.2869897957 + -1.071428571x + x2 = -0.3558673472

Factor a perfect square on the left side:
(x + -0.5357142855)(x + -0.5357142855) = -0.3558673472

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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