16x^2-13x+3=0

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Solution for 16x^2-13x+3=0 equation:


Simplifying
16x2 + -13x + 3 = 0

Reorder the terms:
3 + -13x + 16x2 = 0

Solving
3 + -13x + 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'.
0.1875 + -0.8125x + x2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -0.8125x + -0.1875 + x2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -0.8125x + x2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -0.8125x + x2 = 0 + -0.1875
-0.8125x + x2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
-0.8125x + x2 = -0.1875

The x term is -0.8125x.  Take half its coefficient (-0.40625).
Square it (0.1650390625) and add it to both sides.

Add '0.1650390625' to each side of the equation.
-0.8125x + 0.1650390625 + x2 = -0.1875 + 0.1650390625

Reorder the terms:
0.1650390625 + -0.8125x + x2 = -0.1875 + 0.1650390625

Combine like terms: -0.1875 + 0.1650390625 = -0.0224609375
0.1650390625 + -0.8125x + x2 = -0.0224609375

Factor a perfect square on the left side:
(x + -0.40625)(x + -0.40625) = -0.0224609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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