8a^2-2a+2=0

Solution for 8a^2-2a+2=0 equation:

Simplifying
8a2 + -2a + 2 = 0

Reorder the terms:
2 + -2a + 8a2 = 0

Solving
2 + -2a + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1a + 4a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1a + 4a2)' equal to zero and attempt to solve:

Simplifying
1 + -1a + 4a2 = 0

Solving
1 + -1a + 4a2 = 0

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

Divide each side by '4'.
0.25 + -0.25a + a2 = 0

Move the constant term to the right:

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

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

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.25a + a2 = 0 + -0.25
-0.25a + a2 = 0 + -0.25

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

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 = -0.25 + 0.015625

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

Combine like terms: -0.25 + 0.015625 = -0.234375
0.015625 + -0.25a + a2 = -0.234375

Factor a perfect square on the left side:
(a + -0.125)(a + -0.125) = -0.234375

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.