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Simplifying 12ab + -4b + 8ab2 = 0 Reorder the terms: 12ab + 8ab2 + -4b = 0 Solving 12ab + 8ab2 + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 12ab + 8ab2 + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 12ab + 8ab2 + 0 = 0 + 4b 12ab + 8ab2 = 0 + 4b Remove the zero: 12ab + 8ab2 = 4b Combine like terms: 4b + -4b = 0 12ab + 8ab2 + -4b = 0 Factor out the Greatest Common Factor (GCF), '4b'. 4b(3a + 2ab + -1) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(3a + 2ab + -1)' equal to zero and attempt to solve: Simplifying 3a + 2ab + -1 = 0 Reorder the terms: -1 + 3a + 2ab = 0 Solving -1 + 3a + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3a + 1 + 2ab = 0 + 1 Reorder the terms: -1 + 1 + 3a + 2ab = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a + 2ab = 0 + 1 3a + 2ab = 0 + 1 Combine like terms: 0 + 1 = 1 3a + 2ab = 1 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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