3-3A=3(-1+3A)6A

Solution for 3-3A=3(-1+3A)6A equation:

Simplifying
3 + -3A = 3(-1 + 3A) * 6A

Reorder the terms for easier multiplication:
3 + -3A = 3 * 6A(-1 + 3A)

Multiply 3 * 6
3 + -3A = 18A(-1 + 3A)
3 + -3A = (-1 * 18A + 3A * 18A)
3 + -3A = (-18A + 54A2)

Solving
3 + -3A = -18A + 54A2

Solving for variable 'A'.

Combine like terms: -3A + 18A = 15A
3 + 15A + -54A2 = -18A + 54A2 + 18A + -54A2

Reorder the terms:
3 + 15A + -54A2 = -18A + 18A + 54A2 + -54A2

Combine like terms: -18A + 18A = 0
3 + 15A + -54A2 = 0 + 54A2 + -54A2
3 + 15A + -54A2 = 54A2 + -54A2

Combine like terms: 54A2 + -54A2 = 0
3 + 15A + -54A2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + 5A + -18A2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + 5A + -18A2)' equal to zero and attempt to solve:

Simplifying
1 + 5A + -18A2 = 0

Solving
1 + 5A + -18A2 = 0

Begin completing the square.  Divide all terms by
-18 the coefficient of the squared term: 

Divide each side by '-18'.
-0.05555555556 + -0.2777777778A + A2 = 0

Move the constant term to the right:

Add '0.05555555556' to each side of the equation.
-0.05555555556 + -0.2777777778A + 0.05555555556 + A2 = 0 + 0.05555555556

Reorder the terms:
-0.05555555556 + 0.05555555556 + -0.2777777778A + A2 = 0 + 0.05555555556

Combine like terms: -0.05555555556 + 0.05555555556 = 0.00000000000
0.00000000000 + -0.2777777778A + A2 = 0 + 0.05555555556
-0.2777777778A + A2 = 0 + 0.05555555556

Combine like terms: 0 + 0.05555555556 = 0.05555555556
-0.2777777778A + A2 = 0.05555555556

The A term is -0.2777777778A.  Take half its coefficient (-0.1388888889).
Square it (0.01929012346) and add it to both sides.

Add '0.01929012346' to each side of the equation.
-0.2777777778A + 0.01929012346 + A2 = 0.05555555556 + 0.01929012346

Reorder the terms:
0.01929012346 + -0.2777777778A + A2 = 0.05555555556 + 0.01929012346

Combine like terms: 0.05555555556 + 0.01929012346 = 0.07484567902
0.01929012346 + -0.2777777778A + A2 = 0.07484567902

Factor a perfect square on the left side:
(A + -0.1388888889)(A + -0.1388888889) = 0.07484567902

Calculate the square root of the right side: 0.273579383

Break this problem into two subproblems by setting 
(A + -0.1388888889) equal to 0.273579383 and -0.273579383.

Subproblem 1
A + -0.1388888889 = 0.273579383

Simplifying
A + -0.1388888889 = 0.273579383

Reorder the terms:
-0.1388888889 + A = 0.273579383

Solving
-0.1388888889 + A = 0.273579383

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '0.1388888889' to each side of the equation.
-0.1388888889 + 0.1388888889 + A = 0.273579383 + 0.1388888889

Combine like terms: -0.1388888889 + 0.1388888889 = 0.0000000000
0.0000000000 + A = 0.273579383 + 0.1388888889
A = 0.273579383 + 0.1388888889

Combine like terms: 0.273579383 + 0.1388888889 = 0.4124682719
A = 0.4124682719

Simplifying
A = 0.4124682719

Subproblem 2
A + -0.1388888889 = -0.273579383

Simplifying
A + -0.1388888889 = -0.273579383

Reorder the terms:
-0.1388888889 + A = -0.273579383

Solving
-0.1388888889 + A = -0.273579383

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '0.1388888889' to each side of the equation.
-0.1388888889 + 0.1388888889 + A = -0.273579383 + 0.1388888889

Combine like terms: -0.1388888889 + 0.1388888889 = 0.0000000000
0.0000000000 + A = -0.273579383 + 0.1388888889
A = -0.273579383 + 0.1388888889

Combine like terms: -0.273579383 + 0.1388888889 = -0.1346904941
A = -0.1346904941

Simplifying
A = -0.1346904941

Solution
The solution to the problem is based on the solutions
from the subproblems.
A = {0.4124682719, -0.1346904941}
Solution
A = {0.4124682719, -0.1346904941}