(-a-4b+2)2ab=

Solution for (-a-4b+2)2ab= equation:

Simplifying
(-1a + -4b + 2) * 2ab = 0

Reorder the terms:
(2 + -1a + -4b) * 2ab = 0

Reorder the terms for easier multiplication:
2ab(2 + -1a + -4b) = 0
(2 * 2ab + -1a * 2ab + -4b * 2ab) = 0

Reorder the terms:
(4ab + -8ab2 + -2a2b) = 0
(4ab + -8ab2 + -2a2b) = 0

Solving
4ab + -8ab2 + -2a2b = 0

Solving for variable 'a'.

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

Simplifying
2 + -4b + -1a = 0

Reorder the terms:
2 + -1a + -4b = 0

Solving
2 + -1a + -4b = 0

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

Add '-2' to each side of the equation.
2 + -1a + -2 + -4b = 0 + -2

Reorder the terms:
2 + -2 + -1a + -4b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + -4b = 0 + -2
-1a + -4b = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + -4b = -2

Add '4b' to each side of the equation.
-1a + -4b + 4b = -2 + 4b

Combine like terms: -4b + 4b = 0
-1a + 0 = -2 + 4b
-1a = -2 + 4b

Divide each side by '-1'.
a = 2 + -4b

Simplifying
a = 2 + -4b
Solution
a = {2 + -4b}