6a^2+2=6a

Solution for 6a^2+2=6a equation:

Simplifying
6a2 + 2 = 6a

Reorder the terms:
2 + 6a2 = 6a

Solving
2 + 6a2 = 6a

Solving for variable 'a'.

Reorder the terms:
2 + -6a + 6a2 = 6a + -6a

Combine like terms: 6a + -6a = 0
2 + -6a + 6a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -3a + 3a2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -3a + 3a2)' equal to zero and attempt to solve:

Simplifying
1 + -3a + 3a2 = 0

Solving
1 + -3a + 3a2 = 0

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

Divide each side by '3'.
0.3333333333 + -1a + a2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -1a + -0.3333333333 + a2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -1a + a2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -1a + a2 = 0 + -0.3333333333
-1a + a2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-1a + a2 = -0.3333333333

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -0.3333333333 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.3333333333 + 0.25

Combine like terms: -0.3333333333 + 0.25 = -0.0833333333
0.25 + -1a + a2 = -0.0833333333

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -0.0833333333

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.