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Simplifying 2ab(6a3 + 3a2b) = 0 Reorder the terms: 2ab(3a2b + 6a3) = 0 (3a2b * 2ab + 6a3 * 2ab) = 0 (6a3b2 + 12a4b) = 0 Solving 6a3b2 + 12a4b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a3b'. 6a3b(b + 2a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve: Simplifying a3b = 0 Solving a3b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b = 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 '(b + 2a)' equal to zero and attempt to solve: Simplifying b + 2a = 0 Reorder the terms: 2a + b = 0 Solving 2a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5bSolution
a = {-0.5b}
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