14x^2-5x+1=0

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Solution for 14x^2-5x+1=0 equation:


Simplifying
14x2 + -5x + 1 = 0

Reorder the terms:
1 + -5x + 14x2 = 0

Solving
1 + -5x + 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'.
0.07142857143 + -0.3571428571x + x2 = 0

Move the constant term to the right:

Add '-0.07142857143' to each side of the equation.
0.07142857143 + -0.3571428571x + -0.07142857143 + x2 = 0 + -0.07142857143

Reorder the terms:
0.07142857143 + -0.07142857143 + -0.3571428571x + x2 = 0 + -0.07142857143

Combine like terms: 0.07142857143 + -0.07142857143 = 0.00000000000
0.00000000000 + -0.3571428571x + x2 = 0 + -0.07142857143
-0.3571428571x + x2 = 0 + -0.07142857143

Combine like terms: 0 + -0.07142857143 = -0.07142857143
-0.3571428571x + x2 = -0.07142857143

The x term is -0.3571428571x.  Take half its coefficient (-0.1785714286).
Square it (0.03188775511) and add it to both sides.

Add '0.03188775511' to each side of the equation.
-0.3571428571x + 0.03188775511 + x2 = -0.07142857143 + 0.03188775511

Reorder the terms:
0.03188775511 + -0.3571428571x + x2 = -0.07142857143 + 0.03188775511

Combine like terms: -0.07142857143 + 0.03188775511 = -0.03954081632
0.03188775511 + -0.3571428571x + x2 = -0.03954081632

Factor a perfect square on the left side:
(x + -0.1785714286)(x + -0.1785714286) = -0.03954081632

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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