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Simplifying 3ab2(10a2b3 + 8ab) = 0 Reorder the terms: 3ab2(8ab + 10a2b3) = 0 (8ab * 3ab2 + 10a2b3 * 3ab2) = 0 (24a2b3 + 30a3b5) = 0 Solving 24a2b3 + 30a3b5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a2b3'. 6a2b3(4 + 5ab2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a2b3' equal to zero and attempt to solve: Simplifying a2b3 = 0 Solving a2b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b3 = 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 '(4 + 5ab2)' equal to zero and attempt to solve: Simplifying 4 + 5ab2 = 0 Solving 4 + 5ab2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5ab2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5ab2 = 0 + -4 5ab2 = 0 + -4 Combine like terms: 0 + -4 = -4 5ab2 = -4 Divide each side by '5b2'. a = -0.8b-2 Simplifying a = -0.8b-2Solution
a = {-0.8b-2}
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