16a^2+4a+2=0

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Solution for 16a^2+4a+2=0 equation: 


Simplifying
16a2 + 4a + 2 = 0

Reorder the terms:
2 + 4a + 16a2 = 0

Solving
2 + 4a + 16a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2a + 8a2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 2a + 8a2)' equal to zero and attempt to solve:

Simplifying
1 + 2a + 8a2 = 0

Solving
1 + 2a + 8a2 = 0

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

Divide each side by '8'.
0.125 + 0.25a + a2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.25a + -0.125 + a2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.25a + a2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.25a + a2 = 0 + -0.125
0.25a + a2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.25a + a2 = -0.125

The a term is 0.25a.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25a + 0.015625 + a2 = -0.125 + 0.015625

Reorder the terms:
0.015625 + 0.25a + a2 = -0.125 + 0.015625

Combine like terms: -0.125 + 0.015625 = -0.109375
0.015625 + 0.25a + a2 = -0.109375

Factor a perfect square on the left side:
(a + 0.125)(a + 0.125) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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