14x^2-12x+9=0

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Solution for 14x^2-12x+9=0 equation:


Simplifying
14x2 + -12x + 9 = 0

Reorder the terms:
9 + -12x + 14x2 = 0

Solving
9 + -12x + 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 + -0.8571428571x + x2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + -0.8571428571x + -0.6428571429 + x2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + -0.8571428571x + x2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + -0.8571428571x + x2 = 0 + -0.6428571429
-0.8571428571x + x2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
-0.8571428571x + x2 = -0.6428571429

The x term is -0.8571428571x.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571x + 0.1836734694 + x2 = -0.6428571429 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571x + x2 = -0.6428571429 + 0.1836734694

Combine like terms: -0.6428571429 + 0.1836734694 = -0.4591836735
0.1836734694 + -0.8571428571x + x2 = -0.4591836735

Factor a perfect square on the left side:
(x + -0.4285714286)(x + -0.4285714286) = -0.4591836735

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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