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Simplifying 2a(3d + 2) = 0 Reorder the terms: 2a(2 + 3d) = 0 (2 * 2a + 3d * 2a) = 0 (4a + 6ad) = 0 Solving 4a + 6ad = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2a'. 2a(2 + 3d) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + 3d)' equal to zero and attempt to solve: Simplifying 2 + 3d = 0 Solving 2 + 3d = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 0 + -2 3d = 0 + -2 Combine like terms: 0 + -2 = -2 3d = -2 Add '-3d' to each side of the equation. 3d + -3d = -2 + -3d Combine like terms: 3d + -3d = 0 0 = -2 + -3d Simplifying 0 = -2 + -3d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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