-12-6a=10a^2

Solution for -12-6a=10a^2 equation:

Simplifying
-12 + -6a = 10a2

Solving
-12 + -6a = 10a2

Solving for variable 'a'.

Combine like terms: 10a2 + -10a2 = 0
-12 + -6a + -10a2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(6 + 3a + 5a2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(6 + 3a + 5a2)' equal to zero and attempt to solve:

Simplifying
6 + 3a + 5a2 = 0

Solving
6 + 3a + 5a2 = 0

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

Divide each side by '5'.
1.2 + 0.6a + a2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 0.6a + -1.2 + a2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 0.6a + a2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.6a + a2 = 0 + -1.2
0.6a + a2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
0.6a + a2 = -1.2

The a term is 0.6a.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6a + 0.09 + a2 = -1.2 + 0.09

Reorder the terms:
0.09 + 0.6a + a2 = -1.2 + 0.09

Combine like terms: -1.2 + 0.09 = -1.11
0.09 + 0.6a + a2 = -1.11

Factor a perfect square on the left side:
(a + 0.3)(a + 0.3) = -1.11

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.