16x^2-17x+5=0

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Solution for 16x^2-17x+5=0 equation:


Simplifying
16x2 + -17x + 5 = 0

Reorder the terms:
5 + -17x + 16x2 = 0

Solving
5 + -17x + 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'.
0.3125 + -1.0625x + x2 = 0

Move the constant term to the right:

Add '-0.3125' to each side of the equation.
0.3125 + -1.0625x + -0.3125 + x2 = 0 + -0.3125

Reorder the terms:
0.3125 + -0.3125 + -1.0625x + x2 = 0 + -0.3125

Combine like terms: 0.3125 + -0.3125 = 0.0000
0.0000 + -1.0625x + x2 = 0 + -0.3125
-1.0625x + x2 = 0 + -0.3125

Combine like terms: 0 + -0.3125 = -0.3125
-1.0625x + x2 = -0.3125

The x term is -1.0625x.  Take half its coefficient (-0.53125).
Square it (0.2822265625) and add it to both sides.

Add '0.2822265625' to each side of the equation.
-1.0625x + 0.2822265625 + x2 = -0.3125 + 0.2822265625

Reorder the terms:
0.2822265625 + -1.0625x + x2 = -0.3125 + 0.2822265625

Combine like terms: -0.3125 + 0.2822265625 = -0.0302734375
0.2822265625 + -1.0625x + x2 = -0.0302734375

Factor a perfect square on the left side:
(x + -0.53125)(x + -0.53125) = -0.0302734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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