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Simplifying 2ab3(2a + 1) = 0 Reorder the terms: 2ab3(1 + 2a) = 0 (1 * 2ab3 + 2a * 2ab3) = 0 (2ab3 + 4a2b3) = 0 Solving 2ab3 + 4a2b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab3'. 2ab3(1 + 2a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab3' equal to zero and attempt to solve: Simplifying ab3 = 0 Solving ab3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab3 = 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 '(1 + 2a)' equal to zero and attempt to solve: Simplifying 1 + 2a = 0 Solving 1 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = 0 + -1 2a = 0 + -1 Combine like terms: 0 + -1 = -1 2a = -1 Divide each side by '2'. a = -0.5 Simplifying a = -0.5Solution
a = {-0.5}
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