2(3a-5b+6ab)-8(2a+b-4ab)=

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Solution for 2(3a-5b+6ab)-8(2a+b-4ab)= equation: 


Simplifying
2(3a + -5b + 6ab) + -8(2a + b + -4ab) = 0

Reorder the terms:
2(3a + 6ab + -5b) + -8(2a + b + -4ab) = 0
(3a * 2 + 6ab * 2 + -5b * 2) + -8(2a + b + -4ab) = 0
(6a + 12ab + -10b) + -8(2a + b + -4ab) = 0

Reorder the terms:
6a + 12ab + -10b + -8(2a + -4ab + b) = 0
6a + 12ab + -10b + (2a * -8 + -4ab * -8 + b * -8) = 0
6a + 12ab + -10b + (-16a + 32ab + -8b) = 0

Reorder the terms:
6a + -16a + 12ab + 32ab + -10b + -8b = 0

Combine like terms: 6a + -16a = -10a
-10a + 12ab + 32ab + -10b + -8b = 0

Combine like terms: 12ab + 32ab = 44ab
-10a + 44ab + -10b + -8b = 0

Combine like terms: -10b + -8b = -18b
-10a + 44ab + -18b = 0

Solving
-10a + 44ab + -18b = 0

Solving for variable 'a'.

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

Add '18b' to each side of the equation.
-10a + 44ab + -18b + 18b = 0 + 18b

Combine like terms: -18b + 18b = 0
-10a + 44ab + 0 = 0 + 18b
-10a + 44ab = 0 + 18b
Remove the zero:
-10a + 44ab = 18b

Combine like terms: 18b + -18b = 0
-10a + 44ab + -18b = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5a + 22ab + -9b) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5a + 22ab + -9b)' equal to zero and attempt to solve:

Simplifying
-5a + 22ab + -9b = 0

Solving
-5a + 22ab + -9b = 0

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

Add '9b' to each side of the equation.
-5a + 22ab + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
-5a + 22ab + 0 = 0 + 9b
-5a + 22ab = 0 + 9b
Remove the zero:
-5a + 22ab = 9b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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