16x^2-x+59=0

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Solution for 16x^2-x+59=0 equation:


Simplifying
16x2 + -1x + 59 = 0

Reorder the terms:
59 + -1x + 16x2 = 0

Solving
59 + -1x + 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'.
3.6875 + -0.0625x + x2 = 0

Move the constant term to the right:

Add '-3.6875' to each side of the equation.
3.6875 + -0.0625x + -3.6875 + x2 = 0 + -3.6875

Reorder the terms:
3.6875 + -3.6875 + -0.0625x + x2 = 0 + -3.6875

Combine like terms: 3.6875 + -3.6875 = 0.0000
0.0000 + -0.0625x + x2 = 0 + -3.6875
-0.0625x + x2 = 0 + -3.6875

Combine like terms: 0 + -3.6875 = -3.6875
-0.0625x + x2 = -3.6875

The x term is -0.0625x.  Take half its coefficient (-0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
-0.0625x + 0.0009765625 + x2 = -3.6875 + 0.0009765625

Reorder the terms:
0.0009765625 + -0.0625x + x2 = -3.6875 + 0.0009765625

Combine like terms: -3.6875 + 0.0009765625 = -3.6865234375
0.0009765625 + -0.0625x + x2 = -3.6865234375

Factor a perfect square on the left side:
(x + -0.03125)(x + -0.03125) = -3.6865234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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