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Simplifying 3a2b3 + 12ab2 + 27ab = 0 Reorder the terms: 27ab + 12ab2 + 3a2b3 = 0 Solving 27ab + 12ab2 + 3a2b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(9 + 4b + ab2) = 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 '(9 + 4b + ab2)' equal to zero and attempt to solve: Simplifying 9 + 4b + ab2 = 0 Reorder the terms: 9 + ab2 + 4b = 0 Solving 9 + ab2 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + ab2 + -9 + 4b = 0 + -9 Reorder the terms: 9 + -9 + ab2 + 4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + ab2 + 4b = 0 + -9 ab2 + 4b = 0 + -9 Combine like terms: 0 + -9 = -9 ab2 + 4b = -9 Add '-4b' to each side of the equation. ab2 + 4b + -4b = -9 + -4b Combine like terms: 4b + -4b = 0 ab2 + 0 = -9 + -4b ab2 = -9 + -4b Divide each side by 'b2'. a = -9b-2 + -4b-1 Simplifying a = -9b-2 + -4b-1Solution
a = {-9b-2 + -4b-1}
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