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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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