6b(a+4)-2a(b-4)=

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Solution for 6b(a+4)-2a(b-4)= equation: 


Simplifying
6b(a + 4) + -2a(b + -4) = 0

Reorder the terms:
6b(4 + a) + -2a(b + -4) = 0
(4 * 6b + a * 6b) + -2a(b + -4) = 0

Reorder the terms:
(6ab + 24b) + -2a(b + -4) = 0
(6ab + 24b) + -2a(b + -4) = 0

Reorder the terms:
6ab + 24b + -2a(-4 + b) = 0
6ab + 24b + (-4 * -2a + b * -2a) = 0
6ab + 24b + (8a + -2ab) = 0

Reorder the terms:
8a + 6ab + -2ab + 24b = 0

Combine like terms: 6ab + -2ab = 4ab
8a + 4ab + 24b = 0

Solving
8a + 4ab + 24b = 0

Solving for variable 'a'.

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

Add '-24b' to each side of the equation.
8a + 4ab + 24b + -24b = 0 + -24b

Combine like terms: 24b + -24b = 0
8a + 4ab + 0 = 0 + -24b
8a + 4ab = 0 + -24b
Remove the zero:
8a + 4ab = -24b

Combine like terms: -24b + 24b = 0
8a + 4ab + 24b = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2a + ab + 6b) = 0

Ignore the factor 4.

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

Simplifying
2a + ab + 6b = 0

Solving
2a + ab + 6b = 0

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

Add '-6b' to each side of the equation.
2a + ab + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
2a + ab + 0 = 0 + -6b
2a + ab = 0 + -6b
Remove the zero:
2a + ab = -6b

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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