120*x^2-2x+1=0

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Solution for 120*x^2-2x+1=0 equation:


Simplifying
120x2 + -2x + 1 = 0

Reorder the terms:
1 + -2x + 120x2 = 0

Solving
1 + -2x + 120x2 = 0

Solving for variable 'x'.

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

Divide each side by '120'.
0.008333333333 + -0.01666666667x + x2 = 0

Move the constant term to the right:

Add '-0.008333333333' to each side of the equation.
0.008333333333 + -0.01666666667x + -0.008333333333 + x2 = 0 + -0.008333333333

Reorder the terms:
0.008333333333 + -0.008333333333 + -0.01666666667x + x2 = 0 + -0.008333333333

Combine like terms: 0.008333333333 + -0.008333333333 = 0.000000000000
0.000000000000 + -0.01666666667x + x2 = 0 + -0.008333333333
-0.01666666667x + x2 = 0 + -0.008333333333

Combine like terms: 0 + -0.008333333333 = -0.008333333333
-0.01666666667x + x2 = -0.008333333333

The x term is -0.01666666667x.  Take half its coefficient (-0.008333333335).
Square it (0.00006944444447) and add it to both sides.

Add '0.00006944444447' to each side of the equation.
-0.01666666667x + 0.00006944444447 + x2 = -0.008333333333 + 0.00006944444447

Reorder the terms:
0.00006944444447 + -0.01666666667x + x2 = -0.008333333333 + 0.00006944444447

Combine like terms: -0.008333333333 + 0.00006944444447 = -0.00826388888853
0.00006944444447 + -0.01666666667x + x2 = -0.00826388888853

Factor a perfect square on the left side:
(x + -0.008333333335)(x + -0.008333333335) = -0.00826388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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