-2ab(a-3b-1)=

Solution for -2ab(a-3b-1)= equation:

Simplifying
-2ab(a + -3b + -1) = 0

Reorder the terms:
-2ab(-1 + a + -3b) = 0
(-1 * -2ab + a * -2ab + -3b * -2ab) = 0

Reorder the terms:
(2ab + 6ab2 + -2a2b) = 0
(2ab + 6ab2 + -2a2b) = 0

Solving
2ab + 6ab2 + -2a2b = 0

Solving for variable 'a'.

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

Ignore the factor 2.
Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + 3b + -1a)' equal to zero and attempt to solve:

Simplifying
1 + 3b + -1a = 0

Reorder the terms:
1 + -1a + 3b = 0

Solving
1 + -1a + 3b = 0

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

Add '-1' to each side of the equation.
1 + -1a + -1 + 3b = 0 + -1

Reorder the terms:
1 + -1 + -1a + 3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a + 3b = 0 + -1
-1a + 3b = 0 + -1

Combine like terms: 0 + -1 = -1
-1a + 3b = -1

Add '-3b' to each side of the equation.
-1a + 3b + -3b = -1 + -3b

Combine like terms: 3b + -3b = 0
-1a + 0 = -1 + -3b
-1a = -1 + -3b

Divide each side by '-1'.
a = 1 + 3b

Simplifying
a = 1 + 3b
Solution
a = {1 + 3b}