4(3a^2-a+6)=

Solution for 4(3a^2-a+6)= equation:

Simplifying
4(3a2 + -1a + 6) = 0

Reorder the terms:
4(6 + -1a + 3a2) = 0
(6 * 4 + -1a * 4 + 3a2 * 4) = 0
(24 + -4a + 12a2) = 0

Solving
24 + -4a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -1a + 3a2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + -1a + 3a2)' equal to zero and attempt to solve:

Simplifying
6 + -1a + 3a2 = 0

Solving
6 + -1a + 3a2 = 0

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

Divide each side by '3'.
2 + -0.3333333333a + a2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.3333333333a + -2 + a2 = 0 + -2

Reorder the terms:
2 + -2 + -0.3333333333a + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3333333333a + a2 = 0 + -2
-0.3333333333a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.3333333333a + a2 = -2

The a term is -0.3333333333a.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333a + 0.02777777779 + a2 = -2 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333a + a2 = -2 + 0.02777777779

Combine like terms: -2 + 0.02777777779 = -1.97222222221
0.02777777779 + -0.3333333333a + a2 = -1.97222222221

Factor a perfect square on the left side:
(a + -0.1666666667)(a + -0.1666666667) = -1.97222222221

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.