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Simplifying 3a2b + 6ab + 12ab2 = 0 Reorder the terms: 6ab + 12ab2 + 3a2b = 0 Solving 6ab + 12ab2 + 3a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(2 + 4b + a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 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 '(2 + 4b + a)' equal to zero and attempt to solve: Simplifying 2 + 4b + a = 0 Reorder the terms: 2 + a + 4b = 0 Solving 2 + a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + a + -2 + 4b = 0 + -2 Reorder the terms: 2 + -2 + a + 4b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a + 4b = 0 + -2 a + 4b = 0 + -2 Combine like terms: 0 + -2 = -2 a + 4b = -2 Add '-4b' to each side of the equation. a + 4b + -4b = -2 + -4b Combine like terms: 4b + -4b = 0 a + 0 = -2 + -4b a = -2 + -4b Simplifying a = -2 + -4bSolution
a = {-2 + -4b}
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