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Simplifying 0 = 6a3b + -18ab2 Reorder the terms: 0 = -18ab2 + 6a3b Solving 0 = -18ab2 + 6a3b Solving for variable 'a'. Remove the zero: 18ab2 + -6a3b = -18ab2 + 6a3b + 18ab2 + -6a3b Reorder the terms: 18ab2 + -6a3b = -18ab2 + 18ab2 + 6a3b + -6a3b Combine like terms: -18ab2 + 18ab2 = 0 18ab2 + -6a3b = 0 + 6a3b + -6a3b 18ab2 + -6a3b = 6a3b + -6a3b Combine like terms: 6a3b + -6a3b = 0 18ab2 + -6a3b = 0 Factor out the Greatest Common Factor (GCF), '6ab'. 6ab(3b + -1a2) = 0 Ignore the factor 6.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 '(3b + -1a2)' equal to zero and attempt to solve: Simplifying 3b + -1a2 = 0 Reorder the terms: -1a2 + 3b = 0 Solving -1a2 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -1a2 + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -1a2 + 0 = 0 + -3b -1a2 = 0 + -3b Remove the zero: -1a2 = -3b Divide each side by '-1'. a2 = 3b Simplifying a2 = 3b 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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