-3a+6+6a-3a^2-12=

Solution for -3a+6+6a-3a^2-12= equation:

Simplifying
-3a + 6 + 6a + -3a2 + -12 = 0

Reorder the terms:
6 + -12 + -3a + 6a + -3a2 = 0

Combine like terms: 6 + -12 = -6
-6 + -3a + 6a + -3a2 = 0

Combine like terms: -3a + 6a = 3a
-6 + 3a + -3a2 = 0

Solving
-6 + 3a + -3a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-2 + a + -1a2 = 0

Solving
-2 + a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -1a + a2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1a + -2 + a2 = 0 + -2

Reorder the terms:
2 + -2 + -1a + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + a2 = 0 + -2
-1a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + a2 = -2

The a term is a.  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 = -2 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1a + a2 = -1.75

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -1.75

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.