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Simplifying 3a(5a2 + 8a) = 0 Reorder the terms: 3a(8a + 5a2) = 0 (8a * 3a + 5a2 * 3a) = 0 (24a2 + 15a3) = 0 Solving 24a2 + 15a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2'. 3a2(8 + 5a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(8 + 5a)' equal to zero and attempt to solve: Simplifying 8 + 5a = 0 Solving 8 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 0 + -8 5a = 0 + -8 Combine like terms: 0 + -8 = -8 5a = -8 Divide each side by '5'. a = -1.6 Simplifying a = -1.6Solution
a = {0, -1.6}
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