(-6a+48ab+12a^2b)(2a)=2ab

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Solution for (-6a+48ab+12a^2b)(2a)=2ab equation: 


Simplifying
(-6a + 48ab + 12a2b)(2a) = 2ab

Remove parenthesis around (2a)
(-6a + 48ab + 12a2b) * 2a = 2ab

Reorder the terms for easier multiplication:
2a(-6a + 48ab + 12a2b) = 2ab
(-6a * 2a + 48ab * 2a + 12a2b * 2a) = 2ab
(-12a2 + 96a2b + 24a3b) = 2ab

Solving
-12a2 + 96a2b + 24a3b = 2ab

Solving for variable 'a'.

Reorder the terms:
-2ab + -12a2 + 96a2b + 24a3b = 2ab + -2ab

Combine like terms: 2ab + -2ab = 0
-2ab + -12a2 + 96a2b + 24a3b = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-1b + -6a + 48ab + 12a2b) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-1b + -6a + 48ab + 12a2b)' equal to zero and attempt to solve:

Simplifying
-1b + -6a + 48ab + 12a2b = 0

Reorder the terms:
-6a + 48ab + 12a2b + -1b = 0

Solving
-6a + 48ab + 12a2b + -1b = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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