16a^2+82+8a+1=0

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Solution for 16a^2+82+8a+1=0 equation:


Simplifying
16a2 + 82 + 8a + 1 = 0

Reorder the terms:
82 + 1 + 8a + 16a2 = 0

Combine like terms: 82 + 1 = 83
83 + 8a + 16a2 = 0

Solving
83 + 8a + 16a2 = 0

Solving for variable 'a'.

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

Divide each side by '16'.
5.1875 + 0.5a + a2 = 0

Move the constant term to the right:

Add '-5.1875' to each side of the equation.
5.1875 + 0.5a + -5.1875 + a2 = 0 + -5.1875

Reorder the terms:
5.1875 + -5.1875 + 0.5a + a2 = 0 + -5.1875

Combine like terms: 5.1875 + -5.1875 = 0.0000
0.0000 + 0.5a + a2 = 0 + -5.1875
0.5a + a2 = 0 + -5.1875

Combine like terms: 0 + -5.1875 = -5.1875
0.5a + a2 = -5.1875

The a term is 0.5a.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5a + 0.0625 + a2 = -5.1875 + 0.0625

Reorder the terms:
0.0625 + 0.5a + a2 = -5.1875 + 0.0625

Combine like terms: -5.1875 + 0.0625 = -5.125
0.0625 + 0.5a + a2 = -5.125

Factor a perfect square on the left side:
(a + 0.25)(a + 0.25) = -5.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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