(-a-6b+b)*2ab=0

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Solution for (-a-6b+b)*2ab=0 equation: 


Simplifying
(-1a + -6b + b) * 2ab = 0

Combine like terms: -6b + b = -5b
(-1a + -5b) * 2ab = 0

Reorder the terms for easier multiplication:
2ab(-1a + -5b) = 0
(-1a * 2ab + -5b * 2ab) = 0

Reorder the terms:
(-10ab2 + -2a2b) = 0
(-10ab2 + -2a2b) = 0

Solving
-10ab2 + -2a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-2ab'.
-2ab(5b + a) = 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 '(5b + a)' equal to zero and attempt to solve:

Simplifying
5b + a = 0

Reorder the terms:
a + 5b = 0

Solving
a + 5b = 0

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

Add '-5b' to each side of the equation.
a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
a + 0 = 0 + -5b
a = 0 + -5b
Remove the zero:
a = -5b

Simplifying
a = -5b
Solution
a = {-5b}

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