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Simplifying 5a(3a2 + 4) = 0 Reorder the terms: 5a(4 + 3a2) = 0 (4 * 5a + 3a2 * 5a) = 0 (20a + 15a3) = 0 Solving 20a + 15a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(4 + 3a2) = 0 Ignore the factor 5.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 '(4 + 3a2)' equal to zero and attempt to solve: Simplifying 4 + 3a2 = 0 Solving 4 + 3a2 = 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 + 3a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a2 = 0 + -4 3a2 = 0 + -4 Combine like terms: 0 + -4 = -4 3a2 = -4 Divide each side by '3'. a2 = -1.333333333 Simplifying a2 = -1.333333333 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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