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Simplifying 3ab(2a2 + 3b2) = 0 (2a2 * 3ab + 3b2 * 3ab) = 0 Reorder the terms: (9ab3 + 6a3b) = 0 (9ab3 + 6a3b) = 0 Solving 9ab3 + 6a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(3b2 + 2a2) = 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 '(3b2 + 2a2)' equal to zero and attempt to solve: Simplifying 3b2 + 2a2 = 0 Reorder the terms: 2a2 + 3b2 = 0 Solving 2a2 + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. 2a2 + 3b2 + -3b2 = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 2a2 + 0 = 0 + -3b2 2a2 = 0 + -3b2 Remove the zero: 2a2 = -3b2 Divide each side by '2'. a2 = -1.5b2 Simplifying a2 = -1.5b2 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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