4ab(2a+b-c)=

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


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

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

Solving
-4abc + 4ab2 + 8a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ab'.
4ab(-1c + b + 2a) = 0

Ignore the factor 4.

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 '(-1c + b + 2a)' equal to zero and attempt to solve:

Simplifying
-1c + b + 2a = 0

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

Solving
2a + b + -1c = 0

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

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

Combine like terms: b + -1b = 0
2a + 0 + -1c = 0 + -1b
2a + -1c = 0 + -1b
Remove the zero:
2a + -1c = -1b

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

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

Divide each side by '2'.
a = -0.5b + 0.5c

Simplifying
a = -0.5b + 0.5c
Solution
a = {-0.5b + 0.5c}

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