6a(2)+b(3)+12a(4)b=

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Solution for 6a(2)+b(3)+12a(4)b= equation:


Simplifying
6a(2) + b(3) + 12a(4) * b = 0

Reorder the terms for easier multiplication:
6 * 2a + b(3) + 12a(4) * b = 0

Multiply 6 * 2
12a + b(3) + 12a(4) * b = 0

Reorder the terms for easier multiplication:
12a + 3b + 12a(4) * b = 0

Reorder the terms for easier multiplication:
12a + 3b + 12 * 4a * b = 0

Multiply 12 * 4
12a + 3b + 48a * b = 0

Multiply a * b
12a + 3b + 48ab = 0

Reorder the terms:
12a + 48ab + 3b = 0

Solving
12a + 48ab + 3b = 0

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
12a + 48ab + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
12a + 48ab + 0 = 0 + -3b
12a + 48ab = 0 + -3b
Remove the zero:
12a + 48ab = -3b

Combine like terms: -3b + 3b = 0
12a + 48ab + 3b = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4a + 16ab + b) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4a + 16ab + b)' equal to zero and attempt to solve: Simplifying 4a + 16ab + b = 0 Solving 4a + 16ab + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + 16ab + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 4a + 16ab + 0 = 0 + -1b 4a + 16ab = 0 + -1b Remove the zero: 4a + 16ab = -1b 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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