4(2a-3b)=8a(12b)

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Solution for 4(2a-3b)=8a(12b) equation: 


Simplifying
4(2a + -3b) = 8a(12b)
(2a * 4 + -3b * 4) = 8a(12b)
(8a + -12b) = 8a(12b)

Remove parenthesis around (12b)
8a + -12b = 8a * 12b

Reorder the terms for easier multiplication:
8a + -12b = 8 * 12a * b

Multiply 8 * 12
8a + -12b = 96a * b

Multiply a * b
8a + -12b = 96ab

Solving
8a + -12b = 96ab

Solving for variable 'a'.

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

Add '-96ab' to each side of the equation.
8a + -96ab + -12b = 96ab + -96ab

Combine like terms: 96ab + -96ab = 0
8a + -96ab + -12b = 0

Add '12b' to each side of the equation.
8a + -96ab + -12b + 12b = 0 + 12b

Combine like terms: -12b + 12b = 0
8a + -96ab + 0 = 0 + 12b
8a + -96ab = 0 + 12b
Remove the zero:
8a + -96ab = 12b

Combine like terms: 12b + -12b = 0
8a + -96ab + -12b = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2a + -24ab + -3b) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2a + -24ab + -3b)' equal to zero and attempt to solve:

Simplifying
2a + -24ab + -3b = 0

Solving
2a + -24ab + -3b = 0

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

Add '3b' to each side of the equation.
2a + -24ab + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
2a + -24ab + 0 = 0 + 3b
2a + -24ab = 0 + 3b
Remove the zero:
2a + -24ab = 3b

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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