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Simplifying 2ab(5a3 + 3a2b) = 0 Reorder the terms: 2ab(3a2b + 5a3) = 0 (3a2b * 2ab + 5a3 * 2ab) = 0 (6a3b2 + 10a4b) = 0 Solving 6a3b2 + 10a4b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a3b'. 2a3b(3b + 5a) = 0 Ignore the factor 2.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 '(3b + 5a)' equal to zero and attempt to solve: Simplifying 3b + 5a = 0 Reorder the terms: 5a + 3b = 0 Solving 5a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 5a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 5a + 0 = 0 + -3b 5a = 0 + -3b Remove the zero: 5a = -3b Divide each side by '5'. a = -0.6b Simplifying a = -0.6bSolution
a = {-0.6b}
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