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Simplifying 12ab2 + 4ab + -16a3b2 = 0 Reorder the terms: 4ab + 12ab2 + -16a3b2 = 0 Solving 4ab + 12ab2 + -16a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(1 + 3b + -4a2b) = 0 Ignore the factor 4.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 '(1 + 3b + -4a2b)' equal to zero and attempt to solve: Simplifying 1 + 3b + -4a2b = 0 Reorder the terms: 1 + -4a2b + 3b = 0 Solving 1 + -4a2b + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4a2b + -1 + 3b = 0 + -1 Reorder the terms: 1 + -1 + -4a2b + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4a2b + 3b = 0 + -1 -4a2b + 3b = 0 + -1 Combine like terms: 0 + -1 = -1 -4a2b + 3b = -1 Add '-3b' to each side of the equation. -4a2b + 3b + -3b = -1 + -3b Combine like terms: 3b + -3b = 0 -4a2b + 0 = -1 + -3b -4a2b = -1 + -3b Divide each side by '-4b'. a2 = 0.25b-1 + 0.75 Simplifying a2 = 0.25b-1 + 0.75 Reorder the terms: a2 = 0.75 + 0.25b-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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