16x^2-7x+1=0

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Solution for 16x^2-7x+1=0 equation:


Simplifying
16x2 + -7x + 1 = 0

Reorder the terms:
1 + -7x + 16x2 = 0

Solving
1 + -7x + 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 + -0.4375x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + -0.4375x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + -0.4375x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + -0.4375x + x2 = 0 + -0.0625
-0.4375x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
-0.4375x + x2 = -0.0625

The x term is -0.4375x.  Take half its coefficient (-0.21875).
Square it (0.0478515625) and add it to both sides.

Add '0.0478515625' to each side of the equation.
-0.4375x + 0.0478515625 + x2 = -0.0625 + 0.0478515625

Reorder the terms:
0.0478515625 + -0.4375x + x2 = -0.0625 + 0.0478515625

Combine like terms: -0.0625 + 0.0478515625 = -0.0146484375
0.0478515625 + -0.4375x + x2 = -0.0146484375

Factor a perfect square on the left side:
(x + -0.21875)(x + -0.21875) = -0.0146484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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