6a^2+6a+6=a

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

Simplifying
6a2 + 6a + 6 = a

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

Solving
6 + 6a + 6a2 = a

Solving for variable 'a'.

Reorder the terms:
6 + 6a + -1a + 6a2 = a + -1a

Combine like terms: 6a + -1a = 5a
6 + 5a + 6a2 = a + -1a

Combine like terms: a + -1a = 0
6 + 5a + 6a2 = 0

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

Divide each side by '6'.
1 + 0.8333333333a + a2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.8333333333a + -1 + a2 = 0 + -1

Reorder the terms:
1 + -1 + 0.8333333333a + a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8333333333a + a2 = 0 + -1
0.8333333333a + a2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.8333333333a + a2 = -1

The a term is 0.8333333333a.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333a + 0.1736111111 + a2 = -1 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333a + a2 = -1 + 0.1736111111

Combine like terms: -1 + 0.1736111111 = -0.8263888889
0.1736111111 + 0.8333333333a + a2 = -0.8263888889

Factor a perfect square on the left side:
(a + 0.4166666667)(a + 0.4166666667) = -0.8263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.