16x^2-5x+1=0

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Solution for 16x^2-5x+1=0 equation:


Simplifying
16x2 + -5x + 1 = 0

Reorder the terms:
1 + -5x + 16x2 = 0

Solving
1 + -5x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
0.0625 + -0.3125x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + -0.3125x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + -0.3125x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + -0.3125x + x2 = 0 + -0.0625
-0.3125x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
-0.3125x + x2 = -0.0625

The x term is -0.3125x.  Take half its coefficient (-0.15625).
Square it (0.0244140625) and add it to both sides.

Add '0.0244140625' to each side of the equation.
-0.3125x + 0.0244140625 + x2 = -0.0625 + 0.0244140625

Reorder the terms:
0.0244140625 + -0.3125x + x2 = -0.0625 + 0.0244140625

Combine like terms: -0.0625 + 0.0244140625 = -0.0380859375
0.0244140625 + -0.3125x + x2 = -0.0380859375

Factor a perfect square on the left side:
(x + -0.15625)(x + -0.15625) = -0.0380859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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