2a^2-12a+27=0

Solution for 2a^2-12a+27=0 equation:

Simplifying
2a2 + -12a + 27 = 0

Reorder the terms:
27 + -12a + 2a2 = 0

Solving
27 + -12a + 2a2 = 0

Solving for variable 'a'.

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

Divide each side by '2'.
13.5 + -6a + a2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + -6a + -13.5 + a2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + -6a + a2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -6a + a2 = 0 + -13.5
-6a + a2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-6a + a2 = -13.5

The a term is -6a.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6a + 9 + a2 = -13.5 + 9

Reorder the terms:
9 + -6a + a2 = -13.5 + 9

Combine like terms: -13.5 + 9 = -4.5
9 + -6a + a2 = -4.5

Factor a perfect square on the left side:
(a + -3)(a + -3) = -4.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.