-2a^2b-6ab^2+8ab=

Solution for -2a^2b-6ab^2+8ab= equation:

Simplifying
-2a2b + -6ab2 + 8ab = 0

Reorder the terms:
8ab + -6ab2 + -2a2b = 0

Solving
8ab + -6ab2 + -2a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(4 + -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 '(4 + -3b + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -3b + -1a = 0

Reorder the terms:
4 + -1a + -3b = 0

Solving
4 + -1a + -3b = 0

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

Add '-4' to each side of the equation.
4 + -1a + -4 + -3b = 0 + -4

Reorder the terms:
4 + -4 + -1a + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a + -3b = 0 + -4
-1a + -3b = 0 + -4

Combine like terms: 0 + -4 = -4
-1a + -3b = -4

Add '3b' to each side of the equation.
-1a + -3b + 3b = -4 + 3b

Combine like terms: -3b + 3b = 0
-1a + 0 = -4 + 3b
-1a = -4 + 3b

Divide each side by '-1'.
a = 4 + -3b

Simplifying
a = 4 + -3b
Solution
a = {4 + -3b}